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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 0.85*（0.22-x）/(0.22+2*x)+(1-0.85)*(1.008-x)/(1.008+2*x) = 0 .
    Question type: Equation
    Solution:Original question:
     
17
20
(
11
50
 − x ) ÷ (
11
50
 + 2 x ) + (1 −
17
20
)(
126
125
 − x ) ÷ (
126
125
 + 2 x ) = 0
     Multiply both sides of the equation by:(
11
50
 + 2 x )
     
17
20
(
11
50
 − x ) + (1 −
17
20
)(
126
125
 − x ) ÷ (
126
125
 + 2 x ) × (
11
50
 + 2 x ) = 0
    Remove a bracket on the left of the equation:：
     
17
20
 ×
11
50
 −
17
20
 x + (1 −
17
20
)(
126
125
 − x ) ÷ (
126
125
 + 2 x ) × (
11
50
 + 2 x ) = 0
    The equation is reduced to :
     
187
1000
 −
17
20
 x + (1 −
17
20
)(
126
125
 − x ) ÷ (
126
125
 + 2 x ) × (
11
50
 + 2 x ) = 0
     Multiply both sides of the equation by:(
126
125
 + 2 x )
     
187
1000
(
126
125
 + 2 x ) −
17
20
 x (
126
125
 + 2 x ) + (1 −
17
20
)(
126
125
 − x )(
11
50
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
187
1000
 ×
126
125
 +
187
1000
 × 2 x −
17
20
 x (
126
125
 + 2 x ) + (1 −
17
20
)(
126
125
 − x )(
11
50
 + 2 x ) = 0
    The equation is reduced to :
     
11781
62500
 +
187
500
 x −
17
20
 x (
126
125
 + 2 x ) + (1 −
17
20
)(
126
125
 − x )(
11
50
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
11781
62500
 +
187
500
 x −
17
20
 x ×
126
125
 −
17
20
 x × 2 x + (1 −
17
20
)(
126
125
 − x ) = 0
    The equation is reduced to :
     
11781
62500
 +
187
500
 x −
1071
1250
 x −
17
10
 x x + (1 −
17
20
)(
126
125
 − x )(
11
50
 + 2 x ) = 0
    The equation is reduced to :
     
11781
62500
 −
1207
2500
 x −
17
10
 x x + (1 −
17
20
)(
126
125
 − x )(
11
50
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
11781
62500
 −
1207
2500
 x −
17
10
 x x + 1(
126
125
 − x )(
11
50
 + 2 x ) −
17
20
(
126
125
 − x )(
11
50
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
11781
62500
 −
1207
2500
 x −
17
10
 x x + 1 ×
126
125
(
11
50
 + 2 x ) − 1 x (
11
50
 + 2 x ) = 0
    The equation is reduced to :
     
11781
62500
 −
1207
2500
 x −
17
10
 x x +
126
125
(
11
50
 + 2 x ) − 1 x (
11
50
 + 2 x ) −
17
20
 = 0
    Remove a bracket on the left of the equation:
     
11781
62500
 −
1207
2500
 x −
17
10
 x x +
126
125
 ×
11
50
 +
126
125
 × 2 x − 1 = 0
    The equation is reduced to :
     
11781
62500
 −
1207
2500
 x −
17
10
 x x +
693
3125
 +
252
125
 x − 1 x (
11
50
 + 2 x ) = 0
    The equation is reduced to :
     
25641
62500
 +
3833
2500
 x −
17
10
 x x − 1 x (
11
50
 + 2 x ) −
17
20
(
126
125
 − x )(
11
50
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
25641
62500
 +
3833
2500
 x −
17
10
 x x − 1 x ×
11
50
 − 1 x × 2 = 0
    The equation is reduced to :
     
25641
62500
 +
3833
2500
 x −
17
10
 x x −
11
50
 x − 2 x x −
17
20
 = 0
    The equation is reduced to :
     
25641
62500
 +
3283
2500
 x −
17
10
 x x − 2 x x −
17
20
(
126
125
 − x )(
11
50
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
25641
62500
 +
3283
2500
 x −
17
10
 x x − 2 x x −
17
20
 ×
126
125
(
11
50
 + 2 x ) = 0
    The equation is reduced to :
     
25641
62500
 +
3283
2500
 x −
17
10
 x x − 2 x x −
1071
1250
(
11
50
 + 2 x ) +
17
20
 = 0
    Remove a bracket on the left of the equation:
     
25641
62500
 +
3283
2500
 x −
17
10
 x x − 2 x x −
1071
1250
 ×
11
50
 −
1071
1250
 = 0
    The equation is reduced to :
     
25641
62500
 +
3283
2500
 x −
17
10
 x x − 2 x x −
11781
62500
 −
1071
625
 x = 0
    The equation is reduced to :
     
693
3125
 −
1001
2500
 x −
17
10
 x x − 2 x x +
17
20
 x (
11
50
 + 2 x ) = 0

    The solution of the equation:
        x1≈-0.390583 , keep 6 decimal places
        x2≈0.283883 , keep 6 decimal places    
    There are 2 solution(s).

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