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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 (2*d+1.5)*(d*d-2d+5) = (2d-2)*(d+2)*(d-0.5) .
    Question type: Equation
    Solution:Original question:
     (2 d +
3
2
)( d d 2 d + 5) = (2 d 2)( d + 2)( d
1
2
)
    Remove the bracket on the left of the equation:
     Left side of the equation = 2 d ( d d 2 d + 5) +
3
2
( d d 2 d + 5)
                                             = 2 d d d 2 d × 2 d + 2 d × 5 +
3
2
                                             = 2 d d d 4 d d + 10 d +
3
2
( d d 2 d + 5)
                                             = 2 d d d 4 d d + 10 d +
3
2
d d
                                             = 2 d d d 4 d d + 10 d +
3
2
d d
                                             = 2 d d d 4 d d + 7 d +
3
2
d d
    The equation is transformed into :
     2 d d d 4 d d + 7 d +
3
2
d d = (2 d 2)( d + 2)( d
1
2
)
    Remove the bracket on the right of the equation:
     Right side of the equation = 2 d ( d + 2)( d
1
2
)2( d + 2)( d
1
2
)
                                               = 2 d d ( d
1
2
) + 2 d × 2( d
1
2
)2( d + 2)( d
1
2
)
                                               = 2 d d ( d
1
2
) + 4 d ( d
1
2
)2( d + 2)( d
1
2
)
                                               = 2 d d d 2 d d ×
1
2
+ 4 d ( d
1
2
)2
                                               = 2 d d d 1 d d + 4 d ( d
1
2
)2( d + 2)
                                               = 2 d d d 1 d d + 4 d d 4 d
                                               = 2 d d d 1 d d + 4 d d 2 d
                                               = 2 d d d 1 d d + 4 d d 2 d
                                               = 2 d d d 1 d d + 4 d d 2 d
                                               = 2 d d d 1 d d + 4 d d 2 d
                                               = 2 d d d 1 d d + 4 d d 2 d
                                               = 2 d d d 1 d d + 4 d d 1 d
                                               = 2 d d d 1 d d + 4 d d 1 d
                                               = 2 d d d 1 d d + 4 d d 1 d
                                               = 2 d d d 1 d d + 4 d d 5 d
    The equation is transformed into :
     2 d d d 4 d d + 7 d +
3
2
d d = 2 d d d 1 d d + 4 d d 5 d

    The solution of the equation:
        d1≈-0.409438 , keep 6 decimal places
        d2≈3.838010 , 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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