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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    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 1.15[34427.4+1447*16*x/(2000+x)*1.15*9] = 34427.4+1447*16*(x+100)/(2100+x)*1.15*9 .
    Question type: Equation
    Solution:Original question:
     
23
20
(
172137
5
+ 1447 × 16 x ÷ (2000 + x ) ×
23
20
× 9) =
172137
5
+ 1447 × 16( x + 100) ÷ (2100 + x ) ×
23
20
× 9
     Multiply both sides of the equation by:(2100 + x )
     
23
20
(
172137
5
+ 1447 × 16 x ÷ (2000 + x ) ×
23
20
× 9)(2100 + x ) =
172137
5
(2100 + x ) + 1447 × 16( x + 100) ×
23
20
× 9
    Remove a bracket on the left of the equation::
     
23
20
×
172137
5
(2100 + x ) +
23
20
× 1447 × 16 x ÷ (2000 + x ) ×
23
20
× 9(2100 + x ) =
172137
5
(2100 + x ) + 1447 × 16( x + 100) ×
23
20
× 9
    Remove a bracket on the right of the equation::
     
23
20
×
172137
5
(2100 + x ) +
23
20
× 1447 × 16 x ÷ (2000 + x ) ×
23
20
× 9(2100 + x ) =
172137
5
× 2100 +
172137
5
x + 1447 × 16( x + 100) ×
23
20
× 9
    The equation is reduced to :
     
3959151
100
(2100 + x ) +
6889167
25
x ÷ (2000 + x ) × (2100 + x ) = 72297540 +
172137
5
x +
1198116
5
( x + 100)
     Multiply both sides of the equation by:(2000 + x )
     
3959151
100
(2100 + x )(2000 + x ) +
6889167
25
x (2100 + x ) = 72297540(2000 + x ) +
172137
5
x (2000 + x ) +
1198116
5
( x + 100)(2000 + x )
    Remove a bracket on the left of the equation:
     
3959151
100
× 2100(2000 + x ) +
3959151
100
x (2000 + x ) +
6889167
25
x (2100 + x ) = 72297540(2000 + x ) +
172137
5
x (2000 + x ) +
1198116
5
( x + 100)(2000 + x )
    Remove a bracket on the right of the equation::
     
3959151
100
× 2100(2000 + x ) +
3959151
100
x (2000 + x ) +
6889167
25
x (2100 + x ) = 72297540 × 2000 + 72297540 x +
172137
5
x (2000 + x ) +
1198116
5
( x + 100)(2000 + x )

    
        x≈245.750044 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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