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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*1.26)+(1-0.586)*(1.26-x)/(1.26+2*x) = 0 .
    Question type: Equation
    Solution:Original question:
     
293
500
(
11
50
 − x ) ÷ (
11
50
 + 2 ×
63
50
) + (1 −
293
500
)(
63
50
 − x ) ÷ (
63
50
 + 2 x ) = 0
     Multiply both sides of the equation by:(
11
50
 + 2 ×
63
50
)
     
293
500
(
11
50
 − x ) + (1 −
293
500
)(
63
50
 − x ) ÷ (
63
50
 + 2 x ) × (
11
50
 + 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:：
     
293
500
 ×
11
50
 −
293
500
 x + (1 −
293
500
)(
63
50
 − x ) ÷ (
63
50
 + 2 x ) × (
11
50
 + 2 ×
63
50
) = 0
    The equation is reduced to :
     
3223
25000
 −
293
500
 x + (1 −
293
500
)(
63
50
 − x ) ÷ (
63
50
 + 2 x ) × (
11
50
 + 2 ×
63
50
) = 0
     Multiply both sides of the equation by:(
63
50
 + 2 x )
     
3223
25000
(
63
50
 + 2 x ) −
293
500
 x (
63
50
 + 2 x ) + (1 −
293
500
)(
63
50
 − x )(
11
50
 + 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:
     
3223
25000
 ×
63
50
 +
3223
25000
 × 2 x −
293
500
 x (
63
50
 + 2 x ) + (1 −
293
500
)(
63
50
 − x )(
11
50
 + 2 ×
63
50
) = 0
    The equation is reduced to :
     
203049
1250000
 +
3223
12500
 x −
293
500
 x (
63
50
 + 2 x ) + (1 −
293
500
)(
63
50
 − x )(
11
50
 + 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:
     
203049
1250000
 +
3223
12500
 x −
293
500
 x ×
63
50
 −
293
500
 x × 2 x + (1 −
293
500
)(
63
50
 − x ) = 0
    The equation is reduced to :
     
203049
1250000
 +
3223
12500
 x −
18459
25000
 x −
293
250
 x x + (1 −
293
500
)(
63
50
 − x )(
11
50
 + 2 ×
63
50
) = 0
    The equation is reduced to :
     
203049
1250000
 −
12013
25000
 x −
293
250
 x x + (1 −
293
500
)(
63
50
 − x )(
11
50
 + 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:
     
203049
1250000
 −
12013
25000
 x −
293
250
 x x + 1(
63
50
 − x )(
11
50
 + 2 ×
63
50
) −
293
500
(
63
50
 − x )(
11
50
 + 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:
     
203049
1250000
 −
12013
25000
 x −
293
250
 x x + 1 ×
63
50
(
11
50
 + 2 ×
63
50
) − 1 x (
11
50
 + 2 ×
63
50
) = 0
    The equation is reduced to :
     
203049
1250000
 −
12013
25000
 x −
293
250
 x x +
63
50
(
11
50
 + 2 ×
63
50
) − 1 x (
11
50
 + 2 ×
63
50
) −
293
500
 = 0
    Remove a bracket on the left of the equation:
     
203049
1250000
 −
12013
25000
 x −
293
250
 x x +
63
50
 ×
11
50
 +
63
50
 × 2 ×
63
50
 − 1 = 0
    The equation is reduced to :
     
203049
1250000
 −
12013
25000
 x −
293
250
 x x +
693
2500
 +
3969
1250
 − 1 x (
11
50
 + 2 ×
63
50
) −
293
500
 = 0
    The equation is reduced to :
     
4518549
1250000
 −
12013
25000
 x −
293
250
 x x − 1 x (
11
50
 + 2 ×
63
50
) −
293
500
(
63
50
 − x )(
11
50
 + 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:
     
4518549
1250000
 −
12013
25000
 x −
293
250
 x x − 1 x ×
11
50
 − 1 x × 2 = 0
    The equation is reduced to :
     
4518549
1250000
 −
12013
25000
 x −
293
250
 x x −
11
50
 x −
63
25
 x −
293
500
(
63
50
 − x ) = 0
    The equation is reduced to :
     
4518549
1250000
 −
80513
25000
 x −
293
250
 x x −
293
500
(
63
50
 − x )(
11
50
 + 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:
     
4518549
1250000
 −
80513
25000
 x −
293
250
 x x −
293
500
 ×
63
50
(
11
50
 + 2 ×
63
50
) +
293
500
 x (
11
50
 + 2 ×
63
50
) = 0
    The equation is reduced to :
     
4518549
1250000
 −
80513
25000
 x −
293
250
 x x −
18459
25000
(
11
50
 + 2 ×
63
50
) +
293
500
 x (
11
50
 + 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:
     
4518549
1250000
 −
80513
25000
 x −
293
250
 x x −
18459
25000
 ×
11
50
 −
18459
25000
 × 2 ×
63
50
 +
293
500
 = 0
    The equation is reduced to :
     
4518549
1250000
 −
80513
25000
 x −
293
250
 x x −
203049
1250000
 −
1162917
625000
 +
293
500
 x (
11
50
 + 2 ×
63
50
) = 0
    The equation is reduced to :
     
994833
625000
 −
80513
25000
 x −
293
250
 x x +
293
500
 x (
11
50
 + 2 ×
63
50
) = 0

    The solution of the equation:
        x1≈-2.042742 , keep 6 decimal places
        x2≈0.664858 , 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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