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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 0.2*(0.24-x)/(0.24+2*x)+0.8*(1.34-x)/(1.34+2*x) = 0 .
    Question type: Equation
    Solution:Original question:
     
1
5
(
6
25
 − x ) ÷ (
6
25
 + 2 x ) +
4
5
(
67
50
 − x ) ÷ (
67
50
 + 2 x ) = 0
     Multiply both sides of the equation by:(
6
25
 + 2 x )
     
1
5
(
6
25
 − x ) +
4
5
(
67
50
 − x ) ÷ (
67
50
 + 2 x ) × (
6
25
 + 2 x ) = 0
    Remove a bracket on the left of the equation:：
     
1
5
 ×
6
25
 −
1
5
 x +
4
5
(
67
50
 − x ) ÷ (
67
50
 + 2 x ) × (
6
25
 + 2 x ) = 0
    The equation is reduced to :
     
6
125
 −
1
5
 x +
4
5
(
67
50
 − x ) ÷ (
67
50
 + 2 x ) × (
6
25
 + 2 x ) = 0
     Multiply both sides of the equation by:(
67
50
 + 2 x )
     
6
125
(
67
50
 + 2 x ) −
1
5
 x (
67
50
 + 2 x ) +
4
5
(
67
50
 − x )(
6
25
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
6
125
 ×
67
50
 +
6
125
 × 2 x −
1
5
 x (
67
50
 + 2 x ) +
4
5
(
67
50
 − x )(
6
25
 + 2 x ) = 0
    The equation is reduced to :
     
201
3125
 +
12
125
 x −
1
5
 x (
67
50
 + 2 x ) +
4
5
(
67
50
 − x )(
6
25
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
201
3125
 +
12
125
 x −
1
5
 x ×
67
50
 −
1
5
 x × 2 x +
4
5
(
67
50
 − x ) = 0
    The equation is reduced to :
     
201
3125
 +
12
125
 x −
67
250
 x −
2
5
 x x +
4
5
(
67
50
 − x )(
6
25
 + 2 x ) = 0
    The equation is reduced to :
     
201
3125
 −
43
250
 x −
2
5
 x x +
4
5
(
67
50
 − x )(
6
25
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
201
3125
 −
43
250
 x −
2
5
 x x +
4
5
 ×
67
50
(
6
25
 + 2 x ) −
4
5
 x (
6
25
 + 2 x ) = 0
    The equation is reduced to :
     
201
3125
 −
43
250
 x −
2
5
 x x +
134
125
(
6
25
 + 2 x ) −
4
5
 x (
6
25
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
201
3125
 −
43
250
 x −
2
5
 x x +
134
125
 ×
6
25
 +
134
125
 × 2 x −
4
5
 = 0
    The equation is reduced to :
     
201
3125
 −
43
250
 x −
2
5
 x x +
804
3125
 +
268
125
 x −
4
5
 x (
6
25
 + 2 x ) = 0
    The equation is reduced to :
     
201
625
 +
493
250
 x −
2
5
 x x −
4
5
 x (
6
25
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
201
625
 +
493
250
 x −
2
5
 x x −
4
5
 x ×
6
25
 −
4
5
 x × 2 = 0
    The equation is reduced to :
     
201
625
 +
493
250
 x −
2
5
 x x −
24
125
 x −
8
5
 x x = 0
    The equation is reduced to :
     
201
625
 +
89
50
 x −
2
5
 x x −
8
5
 x x = 0

    The solution of the equation:
        x1≈-0.154020 , keep 6 decimal places
        x2≈1.044020 , 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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