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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 (0.12+x)(0.12+x) = (0.4-x)(0.08-x) .
    Question type: Equation
    Solution:Original question:
     (
3
25
+ x )(
3
25
+ x ) = (
2
5
x )(
2
25
x )
    Remove the bracket on the left of the equation:
     Left side of the equation =
3
25
(
3
25
+ x ) + x (
3
25
+ x )
                                             =
3
25
×
3
25
+
3
25
x + x (
3
25
+ x )
                                             =
9
625
+
3
25
x + x (
3
25
+ x )
                                             =
9
625
+
3
25
x + x ×
3
25
+ x x
                                             =
9
625
+
6
25
x + x x
    The equation is transformed into :
     
9
625
+
6
25
x + x x = (
2
5
x )(
2
25
x )
    Remove the bracket on the right of the equation:
     Right side of the equation =
2
5
(
2
25
x ) x (
2
25
x )
                                               =
2
5
×
2
25
2
5
x x (
2
25
x )
                                               =
4
125
2
5
x x (
2
25
x )
                                               =
4
125
2
5
x x ×
2
25
+ x x
                                               =
4
125
12
25
x + x x
    The equation is transformed into :
     
9
625
+
6
25
x + x x =
4
125
12
25
x + x x

    
        x=
11
450
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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