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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(2x-1)(3x+2)/(x+1)(2x-3)(4x-1) = 0 .
    Question type: Equation
    Solution:Original question:
      x (2 x 1)(3 x + 2) ÷ ( x + 1) × (2 x 3)(4 x 1) = 0
     Multiply both sides of the equation by:( x + 1)
      x (2 x 1)(3 x + 2)(2 x 3)(4 x 1) = 0
    Remove a bracket on the left of the equation::
      x × 2 x (3 x + 2)(2 x 3)(4 x 1) x × 1(3 x + 2)(2 x 3)(4 x 1) = 0
    Remove a bracket on the left of the equation:
      x × 2 x × 3 x (2 x 3)(4 x 1) + x × 2 x × 2(2 x 3) = 0
    The equation is reduced to :
      x × 6 x x (2 x 3)(4 x 1) + x × 4 x (2 x 3)(4 x 1) x = 0
    Remove a bracket on the left of the equation:
      x × 6 x x × 2 x (4 x 1) x × 6 x x × 3 = 0
    The equation is reduced to :
      x × 12 x x x (4 x 1) x × 18 x x (4 x 1) + x = 0
    Remove a bracket on the left of the equation:
      x × 12 x x x × 4 x x × 12 x x x = 0
    The equation is reduced to :
      x × 48 x x x x x × 12 x x x x = 0
    Remove a bracket on the left of the equation:
      x × 48 x x x x x × 12 x x x x = 0
    The equation is reduced to :
      x × 48 x x x x x × 12 x x x x = 0
    Remove a bracket on the left of the equation:
      x × 48 x x x x x × 12 x x x x = 0
    The equation is reduced to :
      x × 48 x x x x x × 12 x x x x = 0
    Remove a bracket on the left of the equation:
      x × 48 x x x x x × 12 x x x x = 0
    The equation is reduced to :
      x × 48 x x x x x × 12 x x x x = 0
    Remove a bracket on the left of the equation:
      x × 48 x x x x x × 12 x x x x = 0
    The equation is reduced to :
      x × 48 x x x x x × 12 x x x x = 0
    Remove a bracket on the left of the equation:
      x × 48 x x x x x × 12 x x x x = 0
    The equation is reduced to :
      x × 48 x x x x x × 12 x x x x = 0
    Remove a bracket on the left of the equation:
      x × 48 x x x x x × 12 x x x x = 0
    The equation is reduced to :
      x × 48 x x x x x × 12 x x x x = 0
    Remove a bracket on the left of the equation:
      x × 48 x x x x x × 12 x x x x = 0
    The equation is reduced to :
      x × 48 x x x x x × 12 x x x x = 0
    Remove a bracket on the left of the equation:
      x × 48 x x x x x × 12 x x x x = 0
    The equation is reduced to :
      x × 48 x x x x x × 12 x x x x = 0

    After the equation is converted into a general formula, it is converted into:
    ( 3x + 2 )( x - 0 )( 4x - 1 )( 2x - 1 )( 2x - 3 )=0
    From
        3x + 2 = 0
        x - 0 = 0
        4x - 1 = 0
        2x - 1 = 0
        2x - 3 = 0

    it is concluded that::
        x1=-
2
3
        x2=0
        x3=
1
4
        x4=
1
2
        x5=
3
2
    
    There are 5 solution(s).


解程的详细方法请参阅:《方程的解法》



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