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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 0.586*（0.22-x）/(0.22+2*x)+(1-0.586)*(1.008-x)/(1.008+2*x) = 0 .
    Question type: Equation
    Solution:Original question:
     
293
500
(
11
50
 − x ) ÷ (
11
50
 + 2 x ) + (1 −
293
500
)(
126
125
 − x ) ÷ (
126
125
 + 2 x ) = 0
     Multiply both sides of the equation by:(
11
50
 + 2 x )
     
293
500
(
11
50
 − x ) + (1 −
293
500
)(
126
125
 − x ) ÷ (
126
125
 + 2 x ) × (
11
50
 + 2 x ) = 0
    Remove a bracket on the left of the equation:：
     
293
500
 ×
11
50
 −
293
500
 x + (1 −
293
500
)(
126
125
 − x ) ÷ (
126
125
 + 2 x ) × (
11
50
 + 2 x ) = 0
    The equation is reduced to :
     
3223
25000
 −
293
500
 x + (1 −
293
500
)(
126
125
 − x ) ÷ (
126
125
 + 2 x ) × (
11
50
 + 2 x ) = 0
     Multiply both sides of the equation by:(
126
125
 + 2 x )
     
3223
25000
(
126
125
 + 2 x ) −
293
500
 x (
126
125
 + 2 x ) + (1 −
293
500
)(
126
125
 − x )(
11
50
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
3223
25000
 ×
126
125
 +
3223
25000
 × 2 x −
293
500
 x (
126
125
 + 2 x ) + (1 −
293
500
)(
126
125
 − x )(
11
50
 + 2 x ) = 0
    The equation is reduced to :
     
203049
1562500
 +
3223
12500
 x −
293
500
 x (
126
125
 + 2 x ) + (1 −
293
500
)(
126
125
 − x )(
11
50
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
203049
1562500
 +
3223
12500
 x −
293
500
 x ×
126
125
 −
293
500
 x × 2 x + (1 −
293
500
)(
126
125
 − x ) = 0
    The equation is reduced to :
     
203049
1562500
 +
3223
12500
 x −
18459
31250
 x −
293
250
 x x + (1 −
293
500
)(
126
125
 − x )(
11
50
 + 2 x ) = 0
    The equation is reduced to :
     
203049
1562500
 −
20803
62500
 x −
293
250
 x x + (1 −
293
500
)(
126
125
 − x )(
11
50
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
203049
1562500
 −
20803
62500
 x −
293
250
 x x + 1(
126
125
 − x )(
11
50
 + 2 x ) −
293
500
(
126
125
 − x )(
11
50
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
203049
1562500
 −
20803
62500
 x −
293
250
 x x + 1 ×
126
125
(
11
50
 + 2 x ) − 1 x (
11
50
 + 2 x ) = 0
    The equation is reduced to :
     
203049
1562500
 −
20803
62500
 x −
293
250
 x x +
126
125
(
11
50
 + 2 x ) − 1 x (
11
50
 + 2 x ) −
293
500
 = 0
    Remove a bracket on the left of the equation:
     
203049
1562500
 −
20803
62500
 x −
293
250
 x x +
126
125
 ×
11
50
 +
126
125
 × 2 x − 1 = 0
    The equation is reduced to :
     
203049
1562500
 −
20803
62500
 x −
293
250
 x x +
693
3125
 +
252
125
 x − 1 x (
11
50
 + 2 x ) = 0
    The equation is reduced to :
     
549549
1562500
 +
105197
62500
 x −
293
250
 x x − 1 x (
11
50
 + 2 x ) −
293
500
(
126
125
 − x )(
11
50
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
549549
1562500
 +
105197
62500
 x −
293
250
 x x − 1 x ×
11
50
 − 1 x × 2 = 0
    The equation is reduced to :
     
549549
1562500
 +
105197
62500
 x −
293
250
 x x −
11
50
 x − 2 x x −
293
500
 = 0
    The equation is reduced to :
     
549549
1562500
 +
91447
62500
 x −
293
250
 x x − 2 x x −
293
500
(
126
125
 − x )(
11
50
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
549549
1562500
 +
91447
62500
 x −
293
250
 x x − 2 x x −
293
500
 ×
126
125
(
11
50
 + 2 x ) = 0
    The equation is reduced to :
     
549549
1562500
 +
91447
62500
 x −
293
250
 x x − 2 x x −
18459
31250
(
11
50
 + 2 x ) +
293
500
 = 0
    Remove a bracket on the left of the equation:
     
549549
1562500
 +
91447
62500
 x −
293
250
 x x − 2 x x −
18459
31250
 ×
11
50
 −
18459
31250
 = 0
    The equation is reduced to :
     
549549
1562500
 +
91447
62500
 x −
293
250
 x x − 2 x x −
203049
1562500
 −
18459
15625
 x = 0
    The equation is reduced to :
     
693
3125
 +
17611
62500
 x −
293
250
 x x − 2 x x +
293
500
 x (
11
50
 + 2 x ) = 0

    The solution of the equation:
        x1≈-0.245783 , keep 6 decimal places
        x2≈0.451131 , keep 6 decimal places    
    There are 2 solution(s).

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