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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 0.09+（0.7x/（0.7x+100）） = （0.532x/（0.532x+100）） .
    Question type: Equation
    Solution:Original question:
     
9
100
 + (
7
10
 x ÷ (
7
10
 x + 100)) = (
133
250
 x ÷ (
133
250
 x + 100))
    Remove a bracket on the left of the equation:：
     
9
100
 +
7
10
 x ÷ (
7
10
 x + 100) = (
133
250
 x ÷ (
133
250
 x + 100))
    Remove a bracket on the right of the equation:：
     
9
100
 +
7
10
 x ÷ (
7
10
 x + 100) =
133
250
 x ÷ (
133
250
 x + 100)
     Multiply both sides of the equation by:(
7
10
 x + 100) ,  (
133
250
 x + 100)
     
9
100
(
7
10
 x + 100)(
133
250
 x + 100) +
7
10
 x (
133
250
 x + 100) =
133
250
 x (
7
10
 x + 100)
    Remove a bracket on the left of the equation:
     
9
100
 ×
7
10
 x (
133
250
 x + 100) +
9
100
 × 100(
133
250
 x + 100) +
7
10
 x (
133
250
 x + 100) =
133
250
 x (
7
10
 x + 100)
    Remove a bracket on the right of the equation:：
     
9
100
 ×
7
10
 x (
133
250
 x + 100) +
9
100
 × 100(
133
250
 x + 100) +
7
10
 x (
133
250
 x + 100) =
133
250
 x ×
7
10
 x +
133
250
 x × 100
    The equation is reduced to :
     
63
1000
 x (
133
250
 x + 100) + 9(
133
250
 x + 100) +
7
10
 x (
133
250
 x + 100) =
931
2500
 x x +
266
5
 x
    Remove a bracket on the left of the equation:
     
63
1000
 x ×
133
250
 x +
63
1000
 x × 100 + 9(
133
250
 x + 100) +
7
10
 x (
133
250
 x + 100) =
931
2500
 x x +
266
5
 x
    The equation is reduced to :
     
8379
250000
 x x +
63
10
 x + 9(
133
250
 x + 100) +
7
10
 x (
133
250
 x + 100) =
931
2500
 x x +
266
5
 x
    Remove a bracket on the left of the equation:
     
8379
250000
 x x +
63
10
 x + 9 ×
133
250
 x + 9 × 100 +
7
10
 x =
931
2500
 x x +
266
5
 x
    The equation is reduced to :
     
8379
250000
 x x +
63
10
 x +
1197
250
 x + 900 +
7
10
 x (
133
250
 x + 100) =
931
2500
 x x +
266
5
 x
    The equation is reduced to :
     
8379
250000
 x x +
1386
125
 x + 900 +
7
10
 x (
133
250
 x + 100) =
931
2500
 x x +
266
5
 x
    Remove a bracket on the left of the equation:
     
8379
250000
 x x +
1386
125
 x + 900 +
7
10
 x ×
133
250
 x +
7
10
 x =
931
2500
 x x +
266
5
 x
    The equation is reduced to :
     
8379
250000
 x x +
1386
125
 x + 900 +
931
2500
 x x + 70 x =
931
2500
 x x +
266
5
 x
    The equation is reduced to :
     
8379
250000
 x x +
10136
125
 x + 900 +
931
2500
 x x =
931
2500
 x x +
266
5
 x

    The solution of the equation:
        x1≈-187.969925 , keep 6 decimal places
        x2≈-142.857143 , keep 6 decimal places
        x3≈-33.631263 , keep 6 decimal places    
    There are 3 solution(s).

解程的详细方法请参阅：《方程的解法》


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