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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 (60-2X)x12x305x2+16x(120-2x12)x305 = Xx12x400x4+(120-2x12)*12x400x2 .
    Question type: Equation
    Solution:Original question:
     (602 X ) X × 12 X × 305 X × 2 + 16 X (1202 X × 12) X × 305 = X X × 12 X × 400 X × 4 + (1202 X × 12) × 12 X × 400 X
     Left side of the equation = (602 X ) X × 7320 X X + 4880 X (1202 X × 12) X
    The equation is transformed into :
     (602 X ) X × 7320 X X + 4880 X (1202 X × 12) X = X X × 12 X × 400 X × 4 + (1202 X × 12) × 12 X × 400 X
    Remove the bracket on the left of the equation:
     Left side of the equation = 60 X × 7320 X X 2 X X × 7320 X X + 4880
                                             = 439200 X X X 14640 X X X X + 4880 X (1202 X × 12)
                                             = 439200 X X X 14640 X X X X + 4880 X × 120
                                             = 439200 X X X 14640 X X X X + 585600 X X
    The equation is transformed into :
     439200 X X X 14640 X X X X + 585600 X X = X X × 12 X × 400 X × 4 + (1202 X × 12) × 12 X × 400 X
     Right side of the equation = X X × 19200 X X + (1202 X × 12) × 9600 X X
    The equation is transformed into :
     439200 X X X 14640 X X X X + 585600 X X = X X × 19200 X X + (1202 X × 12) × 9600 X X
    Remove the bracket on the right of the equation:
     Right side of the equation = X X × 19200 X X + 120 × 9600 X X 2 X × 12
                                               = X X × 19200 X X + 1152000 X X 230400 X X X
    The equation is transformed into :
     439200 X X X 14640 X X X X + 585600 X X = X X × 19200 X X + 1152000 X X 230400 X X X

    After the equation is converted into a general formula, there is a common factor:
    ( X - 0 )( X - 0 )
    From
        X - 0 = 0
        X - 0 = 0

    it is concluded that::
        X1=0
        X2=0
    Solutions that cannot be obtained by factorization:
        X3≈1.099202 , keep 6 decimal places
        X4≈15.227039 , keep 6 decimal places
    
    There are 4 solution(s).


解程的详细方法请参阅:《方程的解法》



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