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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-4)[(x-14)(x+11)-28x-49]+68x+156 = 0 .
    Question type: Equation
    Solution:Original question:
     ( x 4)(( x 14)( x + 11)28 x 49) + 68 x + 156 = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = x (( x 14)( x + 11)28 x 49)4(( x 14)( x + 11)28 x 49) + 68 x + 156
                                             = x ( x 14)( x + 11) x × 28 x x × 494(( x 14)( x + 11)28 x 49) + 68 x
                                             = x ( x 14)( x + 11) x × 28 x + 19 x 4(( x 14)( x + 11)28 x 49) + 156
                                             = x x ( x + 11) x × 14( x + 11) x × 28 x + 19 x 4
                                             = x x x + x x × 11 x × 14( x + 11) x × 28 x
                                             = x x x + x x × 11 x × 14 x x × 14 × 11
                                             = x x x + x x × 11 x × 14 x x × 154 x
                                             = x x x + x x × 11 x × 14 x 135 x x
                                             = x x x + x x × 11 x × 14 x 135 x x
                                             = x x x + x x × 11 x × 14 x 135 x x
                                             = x x x + x x × 11 x × 14 x 23 x x
                                             = x x x + x x × 11 x × 14 x 23 x x
                                             = x x x + x x × 11 x × 14 x 23 x x
                                             = x x x + x x × 11 x × 14 x 23 x x
                                             = x x x + x x × 11 x × 14 x 23 x x
                                             = x x x + x x × 11 x × 14 x 67 x x
                                             = x x x + x x × 11 x × 14 x 67 x x
                                             = x x x + x x × 11 x × 14 x 67 x x
                                             = x x x + x x × 11 x × 14 x 11 x x
    The equation is transformed into :
      x x x + x x × 11 x × 14 x 11 x x = 0

    The solution of the equation:
        x1≈-5.055187 , keep 6 decimal places
        x2≈5.549402 , keep 6 decimal places
        x3≈34.505785 , keep 6 decimal places
    
    There are 3 solution(s).


解程的详细方法请参阅:《方程的解法》



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