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    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer

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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation [100000×(x-10)-960000]×(1-25%)/(100000×x) = 16.2% .
    Question type: Equation
    Solution:Original question:
     (100000( x 10)960000)(1
25
100
) ÷ (100000 x ) =
81
500
     Multiply both sides of the equation by:(100000 x )
     (100000( x 10)960000)(1
25
100
) =
81
500
(100000 x )
    Remove a bracket on the left of the equation::
     100000( x 10)(1
25
100
)960000(1
25
100
) =
81
500
(100000 x )
    Remove a bracket on the right of the equation::
     100000( x 10)(1
25
100
)960000(1
25
100
) =
81
500
× 100000 x
    The equation is reduced to :
     100000( x 10)(1
25
100
)960000(1
25
100
) = 16200 x
    Remove a bracket on the left of the equation:
     100000 x (1
25
100
)100000 × 10(1
25
100
)960000(1
25
100
) = 16200 x
    The equation is reduced to :
     100000 x (1
25
100
)1000000(1
25
100
)960000(1
25
100
) = 16200 x
    Remove a bracket on the left of the equation:
     100000 x × 1100000 x ×
25
100
1000000(1
25
100
)960000(1
25
100
) = 16200 x
    The equation is reduced to :
     100000 x 25000 x 1000000(1
25
100
)960000(1
25
100
) = 16200 x
    The equation is reduced to :
     75000 x 1000000(1
25
100
)960000(1
25
100
) = 16200 x
    Remove a bracket on the left of the equation:
     75000 x 1000000 × 1 + 1000000 ×
25
100
960000(1
25
100
) = 16200 x
    The equation is reduced to :
     75000 x 1000000 + 250000960000(1
25
100
) = 16200 x
    The equation is reduced to :
     75000 x 750000960000(1
25
100
) = 16200 x
    Remove a bracket on the left of the equation:
     75000 x 750000960000 × 1 + 960000 ×
25
100
= 16200 x
    The equation is reduced to :
     75000 x 750000960000 + 240000 = 16200 x
    The equation is reduced to :
     75000 x 1470000 = 16200 x

    Transposition :
     75000 x 16200 x = 1470000

    Combine the items on the left of the equation:
     58800 x = 1470000

    The coefficient of the unknown number is reduced to 1 :
      x = 1470000 ÷ 58800
        = 1470000 ×
1
58800
        = 25 × 1

    We obtained :
      x = 25
    This is the solution of the equation.



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