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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-2)(x+3)(x+2)-10+6+15(x-2)-4(x-3)-(x+2) = 0 .
    Question type: Equation
    Solution:Original question:
     ( x 2)( x + 3)( x + 2)10 + 6 + 15( x 2)4( x 3)( x + 2) = 0
     Left side of the equation = ( x 2)( x + 3)( x + 2)4 + 15( x 2)4( x 3)( x + 2)
    The equation is transformed into :
     ( x 2)( x + 3)( x + 2)4 + 15( x 2)4( x 3)( x + 2) = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = x ( x + 3)( x + 2)2( x + 3)( x + 2)4 + 15( x 2)4( x 3)( x + 2)
                                             = x x ( x + 2) + x × 3( x + 2)2( x + 3)( x + 2)4 + 15( x 2)
                                             = x x x + x x × 2 + x × 3( x + 2)2( x + 3)( x + 2)
                                             = x x x + x x × 2 + x × 3 x + x × 3 × 2
                                             = x x x + x x × 2 + x × 3 x + x × 62
                                             = x x x + x x × 2 + x × 3 x + 6 x 2
                                             = x x x + x x × 2 + x × 3 x + 6 x 2
                                             = x x x + x x × 2 + x × 3 x + 6 x 2
                                             = x x x + x x × 2 + x × 3 x + 6 x 2
                                             = x x x + x x × 2 + x × 3 x + 2 x 2
                                             = x x x + x x × 2 + x × 3 x + 2 x 2
                                             = x x x + x x × 2 + x × 3 x + 2 x 2
                                             = x x x + x x × 2 + x × 3 x 4 x 2
                                             = x x x + x x × 2 + x × 3 x 4 x 2
                                             = x x x + x x × 2 + x × 3 x 4 x 2
                                             = x x x + x x × 2 + x × 3 x + 11 x 2
                                             = x x x + x x × 2 + x × 3 x + 11 x 2
                                             = x x x + x x × 2 + x × 3 x + 11 x 2
                                             = x x x + x x × 2 + x × 3 x + 7 x 2
                                             = x x x + x x × 2 + x × 3 x + 7 x 2
                                             = x x x + x x × 2 + x × 3 x + 6 x 2
    The equation is transformed into :
      x x x + x x × 2 + x × 3 x + 6 x 2 = 0

    
        x≈2.128323 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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