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    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
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    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 0.261*（0.22-x）/(0.22+2*x)+(1-0.261)*(1.008-x)/(1.008+2*x) = 0 .
    Question type: Equation
    Solution:Original question:
     
261
1000
(
11
50
 − x ) ÷ (
11
50
 + 2 x ) + (1 −
261
1000
)(
126
125
 − x ) ÷ (
126
125
 + 2 x ) = 0
     Multiply both sides of the equation by:(
11
50
 + 2 x )
     
261
1000
(
11
50
 − x ) + (1 −
261
1000
)(
126
125
 − x ) ÷ (
126
125
 + 2 x ) × (
11
50
 + 2 x ) = 0
    Remove a bracket on the left of the equation:：
     
261
1000
 ×
11
50
 −
261
1000
 x + (1 −
261
1000
)(
126
125
 − x ) ÷ (
126
125
 + 2 x ) × (
11
50
 + 2 x ) = 0
    The equation is reduced to :
     
2871
50000
 −
261
1000
 x + (1 −
261
1000
)(
126
125
 − x ) ÷ (
126
125
 + 2 x ) × (
11
50
 + 2 x ) = 0
     Multiply both sides of the equation by:(
126
125
 + 2 x )
     
2871
50000
(
126
125
 + 2 x ) −
261
1000
 x (
126
125
 + 2 x ) + (1 −
261
1000
)(
126
125
 − x )(
11
50
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
2871
50000
 ×
126
125
 +
2871
50000
 × 2 x −
261
1000
 x (
126
125
 + 2 x ) + (1 −
261
1000
)(
126
125
 − x )(
11
50
 + 2 x ) = 0
    The equation is reduced to :
     
180873
3125000
 +
2871
25000
 x −
261
1000
 x (
126
125
 + 2 x ) + (1 −
261
1000
)(
126
125
 − x )(
11
50
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
180873
3125000
 +
2871
25000
 x −
261
1000
 x ×
126
125
 −
261
1000
 x × 2 x + (1 −
261
1000
)(
126
125
 − x ) = 0
    The equation is reduced to :
     
180873
3125000
 +
2871
25000
 x −
16443
62500
 x −
261
500
 x x + (1 −
261
1000
)(
126
125
 − x )(
11
50
 + 2 x ) = 0
    The equation is reduced to :
     
180873
3125000
 −
18531
125000
 x −
261
500
 x x + (1 −
261
1000
)(
126
125
 − x )(
11
50
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
180873
3125000
 −
18531
125000
 x −
261
500
 x x + 1(
126
125
 − x )(
11
50
 + 2 x ) −
261
1000
(
126
125
 − x )(
11
50
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
180873
3125000
 −
18531
125000
 x −
261
500
 x x + 1 ×
126
125
(
11
50
 + 2 x ) − 1 x (
11
50
 + 2 x ) = 0
    The equation is reduced to :
     
180873
3125000
 −
18531
125000
 x −
261
500
 x x +
126
125
(
11
50
 + 2 x ) − 1 x (
11
50
 + 2 x ) −
261
1000
 = 0
    Remove a bracket on the left of the equation:
     
180873
3125000
 −
18531
125000
 x −
261
500
 x x +
126
125
 ×
11
50
 +
126
125
 × 2 x − 1 = 0
    The equation is reduced to :
     
180873
3125000
 −
18531
125000
 x −
261
500
 x x +
693
3125
 +
252
125
 x − 1 x (
11
50
 + 2 x ) = 0
    The equation is reduced to :
     
873873
3125000
 +
233469
125000
 x −
261
500
 x x − 1 x (
11
50
 + 2 x ) −
261
1000
(
126
125
 − x )(
11
50
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
873873
3125000
 +
233469
125000
 x −
261
500
 x x − 1 x ×
11
50
 − 1 x × 2 = 0
    The equation is reduced to :
     
873873
3125000
 +
233469
125000
 x −
261
500
 x x −
11
50
 x − 2 x x −
261
1000
 = 0
    The equation is reduced to :
     
873873
3125000
 +
205969
125000
 x −
261
500
 x x − 2 x x −
261
1000
(
126
125
 − x )(
11
50
 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     
873873
3125000
 +
205969
125000
 x −
261
500
 x x − 2 x x −
261
1000
 ×
126
125
(
11
50
 + 2 x ) = 0
    The equation is reduced to :
     
873873
3125000
 +
205969
125000
 x −
261
500
 x x − 2 x x −
16443
62500
(
11
50
 + 2 x ) +
261
1000
 = 0
    Remove a bracket on the left of the equation:
     
873873
3125000
 +
205969
125000
 x −
261
500
 x x − 2 x x −
16443
62500
 ×
11
50
 −
16443
62500
 = 0
    The equation is reduced to :
     
873873
3125000
 +
205969
125000
 x −
261
500
 x x − 2 x x −
180873
3125000
 −
16443
31250
 x = 0
    The equation is reduced to :
     
693
3125
 +
140197
125000
 x −
261
500
 x x − 2 x x +
261
1000
 x (
11
50
 + 2 x ) = 0

    The solution of the equation:
        x1≈-0.149950 , keep 6 decimal places
        x2≈0.739448 , keep 6 decimal places    
    There are 2 solution(s).

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