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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 0.809*（0.22-x）/(0.22+2*1.26)+(1-0.809)*(1.26-x)/(1.26+2*x) = 0 .
    Question type: Equation
    Solution:Original question:
     
809
1000
(
11
50
 − x ) ÷ (
11
50
 + 2 ×
63
50
) + (1 −
809
1000
)(
63
50
 − x ) ÷ (
63
50
 + 2 x ) = 0
     Multiply both sides of the equation by:(
11
50
 + 2 ×
63
50
)
     
809
1000
(
11
50
 − x ) + (1 −
809
1000
)(
63
50
 − x ) ÷ (
63
50
 + 2 x ) × (
11
50
 + 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:：
     
809
1000
 ×
11
50
 −
809
1000
 x + (1 −
809
1000
)(
63
50
 − x ) ÷ (
63
50
 + 2 x ) × (
11
50
 + 2 ×
63
50
) = 0
    The equation is reduced to :
     
8899
50000
 −
809
1000
 x + (1 −
809
1000
)(
63
50
 − x ) ÷ (
63
50
 + 2 x ) × (
11
50
 + 2 ×
63
50
) = 0
     Multiply both sides of the equation by:(
63
50
 + 2 x )
     
8899
50000
(
63
50
 + 2 x ) −
809
1000
 x (
63
50
 + 2 x ) + (1 −
809
1000
)(
63
50
 − x )(
11
50
 + 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:
     
8899
50000
 ×
63
50
 +
8899
50000
 × 2 x −
809
1000
 x (
63
50
 + 2 x ) + (1 −
809
1000
)(
63
50
 − x )(
11
50
 + 2 ×
63
50
) = 0
    The equation is reduced to :
     
560637
2500000
 +
8899
25000
 x −
809
1000
 x (
63
50
 + 2 x ) + (1 −
809
1000
)(
63
50
 − x )(
11
50
 + 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:
     
560637
2500000
 +
8899
25000
 x −
809
1000
 x ×
63
50
 −
809
1000
 x × 2 x + (1 −
809
1000
)(
63
50
 − x ) = 0
    The equation is reduced to :
     
560637
2500000
 +
8899
25000
 x −
50967
50000
 x −
809
500
 x x + (1 −
809
1000
)(
63
50
 − x )(
11
50
 + 2 ×
63
50
) = 0
    The equation is reduced to :
     
560637
2500000
 −
33169
50000
 x −
809
500
 x x + (1 −
809
1000
)(
63
50
 − x )(
11
50
 + 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:
     
560637
2500000
 −
33169
50000
 x −
809
500
 x x + 1(
63
50
 − x )(
11
50
 + 2 ×
63
50
) −
809
1000
(
63
50
 − x )(
11
50
 + 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:
     
560637
2500000
 −
33169
50000
 x −
809
500
 x x + 1 ×
63
50
(
11
50
 + 2 ×
63
50
) − 1 x (
11
50
 + 2 ×
63
50
) = 0
    The equation is reduced to :
     
560637
2500000
 −
33169
50000
 x −
809
500
 x x +
63
50
(
11
50
 + 2 ×
63
50
) − 1 x (
11
50
 + 2 ×
63
50
) −
809
1000
 = 0
    Remove a bracket on the left of the equation:
     
560637
2500000
 −
33169
50000
 x −
809
500
 x x +
63
50
 ×
11
50
 +
63
50
 × 2 ×
63
50
 − 1 = 0
    The equation is reduced to :
     
560637
2500000
 −
33169
50000
 x −
809
500
 x x +
693
2500
 +
3969
1250
 − 1 x (
11
50
 + 2 ×
63
50
) −
809
1000
 = 0

    The solution of the equation:
        x1≈-1.191729 , keep 6 decimal places
        x2≈0.458280 , 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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