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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 (((0.1+2*x)/(1.1+x))*((0.1+2*x)/(1.1+x)))/((1-x)/(1.1+x)) = 0.315 .
    Question type: Equation
    Solution:Original question:
     (((
1
10
 + 2 x ) ÷ (
11
10
 + x ))((
1
10
 + 2 x ) ÷ (
11
10
 + x ))) ÷ ((1 − x ) ÷ (
11
10
 + x )) =
63
200
     Multiply both sides of the equation by:((1 − x ) ÷ (
11
10
 + x ))
     (((
1
10
 + 2 x ) ÷ (
11
10
 + x ))((
1
10
 + 2 x ) ÷ (
11
10
 + x ))) =
63
200
((1 − x ) ÷ (
11
10
 + x ))
    Remove a bracket on the left of the equation:：
     ((
1
10
 + 2 x ) ÷ (
11
10
 + x ))((
1
10
 + 2 x ) ÷ (
11
10
 + x )) =
63
200
((1 − x ) ÷ (
11
10
 + x ))
    Remove a bracket on the right of the equation:：
     ((
1
10
 + 2 x ) ÷ (
11
10
 + x ))((
1
10
 + 2 x ) ÷ (
11
10
 + x )) =
63
200
(1 − x ) ÷ (
11
10
 + x )
     Multiply both sides of the equation by:(
11
10
 + x )
     ((
1
10
 + 2 x ) ÷ (
11
10
 + x ))((
1
10
 + 2 x ) ÷ (
11
10
 + x ))(
11
10
 + x ) =
63
200
(1 − x )
    Remove a bracket on the left of the equation:
     (
1
10
 + 2 x ) ÷ (
11
10
 + x ) × ((
1
10
 + 2 x ) ÷ (
11
10
 + x ))(
11
10
 + x ) =
63
200
(1 − x )
    Remove a bracket on the right of the equation:：
     (
1
10
 + 2 x ) ÷ (
11
10
 + x ) × ((
1
10
 + 2 x ) ÷ (
11
10
 + x ))(
11
10
 + x ) =
63
200
 × 1 −
63
200
 x
    The equation is reduced to :
     (
1
10
 + 2 x ) ÷ (
11
10
 + x ) × ((
1
10
 + 2 x ) ÷ (
11
10
 + x ))(
11
10
 + x ) =
63
200
 −
63
200
 x
     Multiply both sides of the equation by:(
11
10
 + x )
     (
1
10
 + 2 x )((
1
10
 + 2 x ) ÷ (
11
10
 + x ))(
11
10
 + x ) =
63
200
(
11
10
 + x ) −
63
200
 x (
11
10
 + x )
    Remove a bracket on the left of the equation:
     
1
10
((
1
10
 + 2 x ) ÷ (
11
10
 + x ))(
11
10
 + x ) + 2 x ((
1
10
 + 2 x ) ÷ (
11
10
 + x ))(
11
10
 + x ) =
63
200
(
11
10
 + x ) −
63
200
 x (
11
10
 + x )
    Remove a bracket on the right of the equation:：
     
1
10
((
1
10
 + 2 x ) ÷ (
11
10
 + x ))(
11
10
 + x ) + 2 x ((
1
10
 + 2 x ) ÷ (
11
10
 + x ))(
11
10
 + x ) =
63
200
 ×
11
10
 +
63
200
 x −
63
200
 x (
11
10
 + x )
    The equation is reduced to :
     
1
10
((
1
10
 + 2 x ) ÷ (
11
10
 + x ))(
11
10
 + x ) + 2 x ((
1
10
 + 2 x ) ÷ (
11
10
 + x ))(
11
10
 + x ) =
693
2000
 +
63
200
 x −
63
200
 x (
11
10
 + x )
    Remove a bracket on the left of the equation:
     
1
10
(
1
10
 + 2 x ) ÷ (
11
10
 + x ) × (
11
10
 + x ) + 2 x ((
1
10
 + 2 x ) ÷ (
11
10
 + x ))(
11
10
 + x ) =
693
2000
 +
63
200
 x −
63
200
 x (
11
10
 + x )
    Remove a bracket on the right of the equation:：
     
1
10
(
1
10
 + 2 x ) ÷ (
11
10
 + x ) × (
11
10
 + x ) + 2 x ((
1
10
 + 2 x ) ÷ (
11
10
 + x ))(
11
10
 + x ) =
693
2000
 +
63
200
 x −
63
200
 x ×
11
10
 −
63
200
 x x
    The equation is reduced to :
     
1
10
(
1
10
 + 2 x ) ÷ (
11
10
 + x ) × (
11
10
 + x ) + 2 x ((
1
10
 + 2 x ) ÷ (
11
10
 + x ))(
11
10
 + x ) =
693
2000
 +
63
200
 x −
693
2000
 x −
63
200
 x x
    The equation is reduced to :
     
1
10
(
1
10
 + 2 x ) ÷ (
11
10
 + x ) × (
11
10
 + x ) + 2 x ((
1
10
 + 2 x ) ÷ (
11
10
 + x ))(
11
10
 + x ) =
693
2000
 −
63
2000
 x −
63
200
 x x
     Multiply both sides of the equation by:(
11
10
 + x )
     
1
10
(
1
10
 + 2 x )(
11
10
 + x ) + 2 x ((
1
10
 + 2 x ) ÷ (
11
10
 + x ))(
11
10
 + x )(
11
10
 + x ) =
693
2000
(
11
10
 + x ) −
63
2000
 x (
11
10
 + x ) −
63
200
 x x (
11
10
 + x )
    Remove a bracket on the left of the equation:
     
1
10
 ×
1
10
(
11
10
 + x ) +
1
10
 × 2 x (
11
10
 + x ) + 2 x ((
1
10
 + 2 x ) ÷ (
11
10
 + x ))(
11
10
 + x )(
11
10
 + x ) =
693
2000
(
11
10
 + x ) −
63
2000
 x (
11
10
 + x ) −
63
200
 x x (
11
10
 + x )
    Remove a bracket on the right of the equation:：
     
1
10
 ×
1
10
(
11
10
 + x ) +
1
10
 × 2 x (
11
10
 + x ) + 2 x ((
1
10
 + 2 x ) ÷ (
11
10
 + x ))(
11
10
 + x )(
11
10
 + x ) =
693
2000
 ×
11
10
 +
693
2000
 x −
63
2000
 x (
11
10
 + x ) −
63
200
 x x (
11
10
 + x )
    The equation is reduced to :
     
1
100
(
11
10
 + x ) +
1
5
 x (
11
10
 + x ) + 2 x ((
1
10
 + 2 x ) ÷ (
11
10
 + x ))(
11
10
 + x )(
11
10
 + x ) =
7623
20000
 +
693
2000
 x −
63
2000
 x (
11
10
 + x ) −
63
200
 x x (
11
10
 + x )
    Remove a bracket on the left of the equation:
     
1
100
 ×
11
10
 +
1
100
 x +
1
5
 x (
11
10
 + x ) + 2 x ((
1
10
 + 2 x ) ÷ (
11
10
 + x ))(
11
10
 + x )(
11
10
 + x ) =
7623
20000
 +
693
2000
 x −
63
2000
 x (
11
10
 + x ) −
63
200
 x x (
11
10
 + x )
    Remove a bracket on the right of the equation:：
     
1
100
 ×
11
10
 +
1
100
 x +
1
5
 x (
11
10
 + x ) + 2 x ((
1
10
 + 2 x ) ÷ (
11
10
 + x ))(
11
10
 + x )(
11
10
 + x ) =
7623
20000
 +
693
2000
 x −
63
2000
 x ×
11
10
 −
63
2000
 x x −
63
200
 x x

    The solution of the equation:
        x1≈-0.333697 , keep 6 decimal places
        x2≈0.233697 , 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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