Mathematics
         
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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 (50-3x)(5000+20x/3)+100x(5000-20x/3) = 49000 .
    Question type: Equation
    Solution:Original question:
     (503 x )(5000 + 20 x ÷ 3) + 100 x (500020 x ÷ 3) = 49000
    Remove the bracket on the left of the equation:
     Left side of the equation = 50(5000 + 20 x ÷ 3)3 x (5000 + 20 x ÷ 3) + 100 x (500020 x ÷ 3)
                                             = 50 × 5000 + 50 × 20 x ÷ 33 x (5000 + 20 x ÷ 3) + 100 x (500020 x ÷ 3)
                                             = 250000 +
1000
3
x 3 x (5000 + 20 x ÷ 3) + 100 x (500020 x ÷ 3)
                                             = 250000 +
1000
3
x 3 x × 50003 x × 20 x ÷ 3 + 100
                                             = 250000 +
1000
3
x 15000 x 20 x x + 100 x (500020 x ÷ 3)
                                             = 250000
44000
3
x 20 x x + 100 x (500020 x ÷ 3)
                                             = 250000
44000
3
x 20 x x + 100 x × 5000100 x × 20
                                             = 250000
44000
3
x 20 x x + 500000 x
2000
3
x x
                                             = 250000 +
1456000
3
x 20 x x
2000
3
x x
    The equation is transformed into :
     250000 +
1456000
3
x 20 x x
2000
3
x x = 49000

    
        x≈-0.413906 , 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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