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[ 1/1 Equation]
    Work: Find the solution of equation 5*(144000+a)/(144000*a)*1/((2/60)+(144000a/(144000+a))+(1/60000)) = 0.3 .
    Question type: Equation
    Solution:Original question:
     5(144000 + a ) ÷ (144000 a ) × 1 ÷ ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) =
3
10
     Multiply both sides of the equation by:(144000 a )
     5(144000 + a ) × 1 ÷ ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) =
3
10
(144000 a )
    Remove a bracket on the left of the equation::
     5 × 144000 × 1 ÷ ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 5 a × 1 ÷ ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) =
3
10
(144000 a )
    Remove a bracket on the right of the equation::
     5 × 144000 × 1 ÷ ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 5 a × 1 ÷ ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) =
3
10
× 144000 a
    The equation is reduced to :
     720000 ÷ ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 5 a ÷ ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) = 43200 a
     Multiply both sides of the equation by:((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))
     720000 + 5 a ÷ ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) × ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) = 43200 a ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))
    Remove a bracket on the left of the equation:
     720000 + 5 a ÷ ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) × (2 ÷ 60) + 5 a ÷ ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) × (144000 a ÷ (144000 + a )) + 5 a ÷ ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) = 43200 a ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))
    Remove a bracket on the right of the equation::
     720000 + 5 a ÷ ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) × (2 ÷ 60) + 5 a ÷ ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) × (144000 a ÷ (144000 + a )) + 5 a ÷ ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) = 43200 a (2 ÷ 60) + 43200 a (144000 a ÷ (144000 + a )) + 43200 a (1 ÷ 60000)
     Multiply both sides of the equation by:((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))
     720000((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 5 a (2 ÷ 60) + 5 a ÷ ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) × (144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 5 a = 43200 a (2 ÷ 60)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 43200 a (144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 43200 a (1 ÷ 60000)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))
    Remove a bracket on the left of the equation:
     720000(2 ÷ 60) + 720000(144000 a ÷ (144000 + a )) + 720000(1 ÷ 60000) + 5 a (2 ÷ 60) + 5 a ÷ ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) = 43200 a (2 ÷ 60)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 43200 a (144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 43200 a (1 ÷ 60000)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))
    Remove a bracket on the right of the equation::
     720000(2 ÷ 60) + 720000(144000 a ÷ (144000 + a )) + 720000(1 ÷ 60000) + 5 a (2 ÷ 60) + 5 a ÷ ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) = 43200 a × 2 ÷ 60 × ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 43200 a (144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 43200 a (1 ÷ 60000)
    The equation is reduced to :
     720000(2 ÷ 60) + 720000(144000 a ÷ (144000 + a )) + 720000(1 ÷ 60000) + 5 a (2 ÷ 60) + 5 a ÷ ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) = 1440 a ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 43200 a (144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 43200 a (1 ÷ 60000)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))
     Multiply both sides of the equation by:((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))
     720000(2 ÷ 60)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 720000(144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 720000(1 ÷ 60000)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 5 a (2 ÷ 60) = 1440 a ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 43200 a (144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 43200 a (1 ÷ 60000)
    Remove a bracket on the left of the equation:
     720000 × 2 ÷ 60 × ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 720000(144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 720000(1 ÷ 60000)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 5 a = 1440 a ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 43200 a (144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 43200 a (1 ÷ 60000)
    Remove a bracket on the right of the equation::
     720000 × 2 ÷ 60 × ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 720000(144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 720000(1 ÷ 60000)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 5 a = 1440 a (2 ÷ 60)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 1440 a (144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 1440 a (1 ÷ 60000)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))
    The equation is reduced to :
     24000((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 720000(144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 720000(1 ÷ 60000)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 5 a (2 ÷ 60)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) = 1440 a (2 ÷ 60)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 1440 a (144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 1440 a (1 ÷ 60000)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))
     Multiply both sides of the equation by:((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))
     24000((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 720000(144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 720000(1 ÷ 60000)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 5 = 1440 a (2 ÷ 60)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 1440 a (144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 1440 a
    Remove a bracket on the left of the equation:
     24000(2 ÷ 60)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 24000(144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 24000(1 ÷ 60000)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 720000(144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) = 1440 a (2 ÷ 60)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 1440 a (144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 1440 a
    Remove a bracket on the right of the equation::
     24000(2 ÷ 60)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 24000(144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 24000(1 ÷ 60000)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 720000(144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) = 1440 a × 2 ÷ 60 × ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 1440 a (144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 1440
    The equation is reduced to :
     24000(2 ÷ 60)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 24000(144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 24000(1 ÷ 60000)((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 720000(144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) = 48 a ((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) + 1440 a (144000 a ÷ (144000 + a ))((2 ÷ 60) + (144000 a ÷ (144000 + a )) + (1 ÷ 60000))((2

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