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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 [(1+m%)*300][(1+m/200)*1000] = 660000 .
    Question type: Equation
    Solution:Original question:
     ((1 + m ) × 300)((1 + m ÷ 200) × 1000) = 660000
    Remove the bracket on the left of the equation:
     Left side of the equation = (1 + m ) × 300((1 + m ÷ 200) × 1000)
                                             = 1 × 300((1 + m ÷ 200) × 1000) + m × 300((1 + m ÷ 200) × 1000)
                                             = 300((1 + m ÷ 200) × 1000) + m × 300((1 + m ÷ 200) × 1000)
                                             = 300(1 + m ÷ 200) × 1000 + m × 300((1 + m ÷ 200) × 1000)
                                             = 300000(1 + m ÷ 200) + m × 300((1 + m ÷ 200) × 1000)
                                             = 300000 × 1 + 300000 m ÷ 200 + m × 300((1 + m ÷ 200) × 1000)
                                             = 300000 + 1500 m + m × 300((1 + m ÷ 200) × 1000)
                                             = 300000 + 1500 m + m × 300(1 + m ÷ 200) × 1000
                                             = 300000 + 1500 m + m × 300000(1 + m ÷ 200)
                                             = 300000 + 1500 m + m × 300000 × 1 + m × 300000 m ÷ 200
                                             = 300000 + 1500 m + m × 300000 + m × 1500 m
                                             = 300000 + 301500 m + m × 1500 m
    The equation is transformed into :
     300000 + 301500 m + m × 1500 m = 660000

    
        m≈65.638587 , 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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