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    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
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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 0.586*（0.473-x）/(0.473+2*x)+(1-0.586)*(1.008-x)/(1.008+2*x) = 0 .
    Question type: Equation
    Solution:Original question:
     
293
500
(
473
1000
 − x ) ÷ (
473
1000
 + 2 x ) + (1 −
293
500
)(
126
125
 − x ) ÷ (
126
125
 + 2 x ) = 0
     Multiply both sides of the equation by:(
473
1000
 + 2 x )
     
293
500
(
473
1000
 − x ) + (1 −
293
500
)(
126
125
 − x ) ÷ (
126
125
 + 2 x ) × (
473
1000
 + 2 x ) = 0
    Remove a bracket on the left of the equation:：
     
293
500
 ×
473
1000
 −
293
500
 x + (1 −
293
500
)(
126
125
 − x ) ÷ (
126
125
 + 2 x ) × (
473
1000
 + 2 x ) = 0
    The equation is reduced to :
     
138589
500000
 −
293
500
 x + (1 −
293
500
)(
126
125
 − x ) ÷ (
126
125
 + 2 x ) × (
473
1000
 + 2 x ) = 0
     Multiply both sides of the equation by:(
126
125
 + 2 x )
     
138589
500000
(
126
125
 + 2 x ) −
293
500
 x (
126
125
 + 2 x ) + (1 −
293
500
)(
126
125
 − x )(
473
1000
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
138589
500000
 ×
126
125
 +
138589
500000
 × 2 x −
293
500
 x (
126
125
 + 2 x ) + (1 −
293
500
)(
126
125
 − x )(
473
1000
 + 2 x ) = 0
    The equation is reduced to :
     
8731107
31250000
 +
138589
250000
 x −
293
500
 x (
126
125
 + 2 x ) + (1 −
293
500
)(
126
125
 − x )(
473
1000
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
8731107
31250000
 +
138589
250000
 x −
293
500
 x ×
126
125
 −
293
500
 x × 2 x + (1 −
293
500
)(
126
125
 − x ) = 0
    The equation is reduced to :
     
8731107
31250000
 +
138589
250000
 x −
18459
31250
 x −
293
250
 x x + (1 −
293
500
)(
126
125
 − x )(
473
1000
 + 2 x ) = 0
    The equation is reduced to :
     
8731107
31250000
 −
9083
250000
 x −
293
250
 x x + (1 −
293
500
)(
126
125
 − x )(
473
1000
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
8731107
31250000
 −
9083
250000
 x −
293
250
 x x + 1(
126
125
 − x )(
473
1000
 + 2 x ) −
293
500
(
126
125
 − x )(
473
1000
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
8731107
31250000
 −
9083
250000
 x −
293
250
 x x + 1 ×
126
125
(
473
1000
 + 2 x ) − 1 x (
473
1000
 + 2 x ) = 0
    The equation is reduced to :
     
8731107
31250000
 −
9083
250000
 x −
293
250
 x x +
126
125
(
473
1000
 + 2 x ) − 1 x (
473
1000
 + 2 x ) −
293
500
 = 0
    Remove a bracket on the left of the equation:
     
8731107
31250000
 −
9083
250000
 x −
293
250
 x x +
126
125
 ×
473
1000
 +
126
125
 × 2 x − 1 = 0
    The equation is reduced to :
     
8731107
31250000
 −
9083
250000
 x −
293
250
 x x +
29799
62500
 +
252
125
 x − 1 x (
473
1000
 + 2 x ) = 0

    The solution of the equation:
        x1≈-0.360340 , keep 6 decimal places
        x2≈0.661575 , keep 6 decimal places    
    There are 2 solution(s).

解程的详细方法请参阅：《方程的解法》


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