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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-30)[200-20(x-40)] = 10000 .
    Question type: Equation
    Solution:Original question:
     ( x − 30)(200 − 20( x − 40)) = 10000
    Remove the bracket on the left of the equation:
     Left side of the equation = x (200 − 20( x − 40)) − 30(200 − 20( x − 40))
                                             = x × 200 − x × 20( x − 40) − 30(200 − 20( x − 40))
                                             = 200 x − x × 20 x + x × 20 × 40 − 30(200 − 20( x − 40))
                                             = 200 x − x × 20 x + x × 800 − 30(200 − 20( x − 40))
                                             = 1000 x − x × 20 x − 30(200 − 20( x − 40))
                                             = 1000 x − x × 20 x − 30 × 200 + 30 × 20( x − 40)
                                             = 1000 x − x × 20 x − 6000 + 600( x − 40)
                                             = 1000 x − x × 20 x − 6000 + 600 x − 600 × 40
                                             = 1000 x − x × 20 x − 6000 + 600 x − 24000
                                             = 1600 x − x × 20 x − 30000
    The equation is transformed into :
     1600 x − x × 20 x − 30000 = 10000
    This equation has no real solution!


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