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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-x/100)*7000*100*(1+0.8*x/100)+(9000+50/3*x)*(1-0.8*x/100)*150 = 2050000 .
    Question type: Equation
    Solution:Original question:
     (1 x ÷ 100) × 7000 × 100(1 +
4
5
x ÷ 100) + (9000 + 50 ÷ 3 × x )(1
4
5
x ÷ 100) × 150 = 2050000
     Left side of the equation = (1 x ÷ 100) × 700000(1 +
4
5
x ÷ 100) + (9000 + 50 ÷ 3 × x )(1
4
5
x ÷ 100) × 150
    The equation is transformed into :
     (1 x ÷ 100) × 700000(1 +
4
5
x ÷ 100) + (9000 + 50 ÷ 3 × x )(1
4
5
x ÷ 100) × 150 = 2050000
    Remove the bracket on the left of the equation:
     Left side of the equation = 1 × 700000(1 +
4
5
x ÷ 100) x ÷ 100 × 700000(1 +
4
5
x ÷ 100) + (9000 + 50 ÷ 3 × x )(1
4
5
x ÷ 100) × 150
                                             = 700000(1 +
4
5
x ÷ 100) x × 7000(1 +
4
5
x ÷ 100) + (9000 + 50 ÷ 3 × x )(1
4
5
x ÷ 100) × 150
                                             = 700000 × 1 + 700000 ×
4
5
x ÷ 100 x × 7000(1 +
4
5
x ÷ 100) + (9000 + 50 ÷ 3 × x )(1
4
5
x ÷ 100) × 150
                                             = 700000 + 5600 x x × 7000(1 +
4
5
x ÷ 100) + (9000 + 50 ÷ 3 × x )(1
4
5
x ÷ 100) × 150
                                             = 700000 + 5600 x x × 7000 × 1 x × 7000 ×
4
5
x ÷ 100 + (9000 + 50 ÷ 3 × x )
                                             = 700000 + 5600 x x × 7000 x × 56 x + (9000 + 50 ÷ 3 × x )(1
4
5
x ÷ 100) × 150
                                             = 7000001400 x x × 56 x + (9000 + 50 ÷ 3 × x )(1
4
5
x ÷ 100) × 150
                                             = 7000001400 x x × 56 x + 9000(1
4
5
x ÷ 100) × 150 + 50 ÷ 3 × x
                                             = 7000001400 x x × 56 x + 1350000(1
4
5
x ÷ 100) + 2500 x (1
4
5
x ÷ 100)
                                             = 7000001400 x x × 56 x + 1350000 × 11350000 ×
4
5
x ÷ 100
                                             = 7000001400 x x × 56 x + 135000010800 x + 2500 x (1
4
5
x ÷ 100)
                                             = 205000012200 x x × 56 x + 2500 x (1
4
5
x ÷ 100)
                                             = 205000012200 x x × 56 x + 2500 x × 12500 x ×
4
5
                                             = 205000012200 x x × 56 x + 2500 x 20 x x
                                             = 20500009700 x x × 56 x 20 x x
    The equation is transformed into :
     20500009700 x x × 56 x 20 x x = 2050000

    After the equation is converted into a general formula, there is a common factor:
    ( x - 0 )
    From
        x - 0 = 0

    it is concluded that::
        x1=0
    Solutions that cannot be obtained by factorization:
        x2≈-127.631579 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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