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

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 0.5(((0.005*x)/(900-x))*29910.2*1400*x)+0.01((x-45)/(900-x))*200000*2010.62 = 4021.24*500+140*5*165000*0.005 .
    Question type: Equation
    Solution:Original question:
     
1
2
(((
1
200
x ) ÷ (900 x )) ×
149551
5
× 1400 x ) +
1
100
(( x 45) ÷ (900 x )) × 200000 ×
100531
50
=
100531
25
× 500 + 140 × 5 × 165000 ×
1
200
    Remove a bracket on the left of the equation::
     
1
2
((
1
200
x ) ÷ (900 x )) ×
149551
5
× 1400 x +
1
100
(( x 45) ÷ (900 x )) × 200000 ×
100531
50
=
100531
25
× 500 + 140 × 5 × 165000 ×
1
200
    The equation is reduced to :
     20937140((
1
200
x ) ÷ (900 x )) x + 4021240(( x 45) ÷ (900 x )) = 2010620 + 577500
    The equation is reduced to :
     20937140((
1
200
x ) ÷ (900 x )) x + 4021240(( x 45) ÷ (900 x )) = 2588120
    Remove a bracket on the left of the equation:
     20937140(
1
200
x ) ÷ (900 x ) × x + 4021240(( x 45) ÷ (900 x )) = 2588120
     Multiply both sides of the equation by:(900 x )
     20937140(
1
200
x ) x + 4021240(( x 45) ÷ (900 x ))(900 x ) = 2588120(900 x )
    Remove a bracket on the left of the equation:
     20937140 ×
1
200
x x + 4021240(( x 45) ÷ (900 x ))(900 x ) = 2588120(900 x )
    Remove a bracket on the right of the equation::
     20937140 ×
1
200
x x + 4021240(( x 45) ÷ (900 x ))(900 x ) = 2588120 × 9002588120 x
    The equation is reduced to :
     
1046857
10
x x + 4021240(( x 45) ÷ (900 x ))(900 x ) = 23293080002588120 x
    Remove a bracket on the left of the equation:
     
1046857
10
x x + 4021240( x 45) ÷ (900 x ) × (900 x ) = 23293080002588120 x
     Multiply both sides of the equation by:(900 x )
     
1046857
10
x x (900 x ) + 4021240( x 45)(900 x ) = 2329308000(900 x )2588120 x (900 x )
    Remove a bracket on the left of the equation:
     
1046857
10
x x × 900
1046857
10
x x x + 4021240( x 45)(900 x ) = 2329308000(900 x )2588120 x (900 x )
    Remove a bracket on the right of the equation::
     
1046857
10
x x × 900
1046857
10
x x x + 4021240( x 45)(900 x ) = 2329308000 × 9002329308000 x 2588120 x (900 x )

    The solution of the equation:
        x1≈-189.604236 , keep 6 decimal places
        x2≈126.468965 , keep 6 decimal places
    
    There are 2 solution(s).


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