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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 (x+0.717)*(x-0.368)+(x+0.717)*(x-1) = (x-1)*(x-0.368) .
    Question type: Equation
    Solution:Original question:
     ( x +
717
1000
)( x −
46
125
) + ( x +
717
1000
)( x − 1) = ( x − 1)( x −
46
125
)
    Remove the bracket on the left of the equation:
     Left side of the equation = x ( x −
46
125
) +
717
1000
( x −
46
125
) + ( x +
717
1000
)( x − 1)
                                             = x x − x ×
46
125
 +
717
1000
( x −
46
125
) + ( x +
717
1000
)( x − 1)
                                             = x x −
46
125
 x +
717
1000
 x −
717
1000
 ×
46
125
 + ( x +
717
1000
)( x − 1)
                                             = x x −
46
125
 x +
717
1000
 x −
16491
62500
 + ( x +
717
1000
)( x − 1)
                                             = x x +
349
1000
 x −
16491
62500
 + ( x +
717
1000
)( x − 1)
                                             = x x +
349
1000
 x −
16491
62500
 + x ( x − 1) +
717
1000
( x − 1)
                                             = x x +
349
1000
 x −
16491
62500
 + x x − x × 1 +
717
1000
( x − 1)
                                             = x x −
651
1000
 x −
16491
62500
 + x x +
717
1000
( x − 1)
                                             = x x −
651
1000
 x −
16491
62500
 + x x +
717
1000
 x −
717
1000
 × 1
                                             = x x −
651
1000
 x −
16491
62500
 + x x +
717
1000
 x −
717
1000
                                             = x x +
33
500
 x −
122607
125000
 + x x
    The equation is transformed into :
      x x +
33
500
 x −
122607
125000
 + x x = ( x − 1)( x −
46
125
)
    Remove the bracket on the right of the equation:
     Right side of the equation = x ( x −
46
125
) − 1( x −
46
125
)
                                               = x x − x ×
46
125
 − 1( x −
46
125
)
                                               = x x −
46
125
 x − 1 x + 1 ×
46
125
                                               = x x −
46
125
 x − 1 x +
46
125
                                               = x x −
171
125
 x +
46
125
    The equation is transformed into :
      x x +
33
500
 x −
122607
125000
 + x x = x x −
171
125
 x +
46
125

    The solution of the equation:
        x1≈-2.081897 , keep 6 decimal places
        x2≈0.647897 , 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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