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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 (2d+1)*(d+2)*(d+3) = d*(d+1)*(2d+5) .
    Question type: Equation
    Solution:Original question:
     (2 d + 1)( d + 2)( d + 3) = d ( d + 1)(2 d + 5)
    Remove the bracket on the left of the equation:
     Left side of the equation = 2 d ( d + 2)( d + 3) + 1( d + 2)( d + 3)
                                             = 2 d d ( d + 3) + 2 d × 2( d + 3) + 1( d + 2)( d + 3)
                                             = 2 d d ( d + 3) + 4 d ( d + 3) + 1( d + 2)( d + 3)
                                             = 2 d d d + 2 d d × 3 + 4 d ( d + 3) + 1
                                             = 2 d d d + 6 d d + 4 d ( d + 3) + 1( d + 2)
                                             = 2 d d d + 6 d d + 4 d d + 4 d
                                             = 2 d d d + 6 d d + 4 d d + 12 d
                                             = 2 d d d + 6 d d + 4 d d + 12 d
                                             = 2 d d d + 6 d d + 4 d d + 12 d
                                             = 2 d d d + 6 d d + 4 d d + 12 d
                                             = 2 d d d + 6 d d + 4 d d + 12 d
                                             = 2 d d d + 6 d d + 4 d d + 15 d
                                             = 2 d d d + 6 d d + 4 d d + 15 d
                                             = 2 d d d + 6 d d + 4 d d + 15 d
                                             = 2 d d d + 6 d d + 4 d d + 17 d
    The equation is transformed into :
     2 d d d + 6 d d + 4 d d + 17 d = d ( d + 1)(2 d + 5)
    Remove the bracket on the right of the equation:
     Right side of the equation = d d (2 d + 5) + d × 1(2 d + 5)
                                               = d d × 2 d + d d × 5 + d × 1(2 d + 5)
                                               = d d × 2 d + d d × 5 + d × 1 × 2 d + d
                                               = d d × 2 d + d d × 5 + d × 2 d + d × 5
    The equation is transformed into :
     2 d d d + 6 d d + 4 d d + 17 d = d d × 2 d + d d × 5 + d × 2 d + 5 d

    The solution of the equation:
        d1≈-2.366025 , keep 6 decimal places
        d2≈-0.633975 , 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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