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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 （0.0545-2x）*（0.0545-2x） = 54.5*（x+0.006）*（x+0.0009） .
    Question type: Equation
    Solution:Original question:
     (
109
2000
 − 2 x )(
109
2000
 − 2 x ) =
109
2
( x +
3
500
)( x +
9
10000
)
    Remove the bracket on the left of the equation:
     Left side of the equation =
109
2000
(
109
2000
 − 2 x ) − 2 x (
109
2000
 − 2 x )
                                             =
109
2000
 ×
109
2000
 −
109
2000
 × 2 x − 2 x (
109
2000
 − 2 x )
                                             =
11881
4000000
 −
109
1000
 x − 2 x (
109
2000
 − 2 x )
                                             =
11881
4000000
 −
109
1000
 x − 2 x ×
109
2000
 + 2 x × 2 x
                                             =
11881
4000000
 −
109
1000
 x −
109
1000
 x + 4 x x
                                             =
11881
4000000
 −
109
500
 x + 4 x x
    The equation is transformed into :
     
11881
4000000
 −
109
500
 x + 4 x x =
109
2
( x +
3
500
)( x +
9
10000
)
    Remove the bracket on the right of the equation:
     Right side of the equation =
109
2
 x ( x +
9
10000
) +
109
2
 ×
3
500
( x +
9
10000
)
                                               =
109
2
 x ( x +
9
10000
) +
327
1000
( x +
9
10000
)
                                               =
109
2
 x x +
109
2
 x ×
9
10000
 +
327
1000
( x +
9
10000
)
                                               =
109
2
 x x +
981
20000
 x +
327
1000
( x +
9
10000
)
                                               =
109
2
 x x +
981
20000
 x +
327
1000
 x +
327
1000
 ×
9
10000
                                               =
109
2
 x x +
981
20000
 x +
327
1000
 x +
2943
10000000
                                               =
109
2
 x x +
7521
20000
 x +
2943
10000000
    The equation is transformed into :
     
11881
4000000
 −
109
500
 x + 4 x x =
109
2
 x x +
7521
20000
 x +
2943
10000000
    This equation has no real solution!


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