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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 520*100000 = 13.8*x*456*(420-x/2)+13.8*(1000-456)*100*(420-100/2) .
    Question type: Equation
    Solution:Original question:
     520 × 100000 =
69
5
x × 456(420 x ÷ 2) +
69
5
(1000456) × 100(420100 ÷ 2)
     Left side of the equation = 52000000
    The equation is transformed into :
     52000000 =
69
5
x × 456(420 x ÷ 2) +
69
5
(1000456) × 100(420100 ÷ 2)
     Right side of the equation =
31464
5
x (420 x ÷ 2) + 1380(1000456)(420100 ÷ 2)
    The equation is transformed into :
     52000000 =
31464
5
x (420 x ÷ 2) + 1380(1000456)(420100 ÷ 2)
    Remove the bracket on the right of the equation:
     Right side of the equation =
31464
5
x × 420
31464
5
x x ÷ 2 + 1380(1000456)(420100 ÷ 2)
                                               = 2642976 x
15732
5
x x + 1380(1000456)(420100 ÷ 2)
                                               = 2642976 x
15732
5
x x + 1380 × 1000(420100 ÷ 2)1380 × 456(420100 ÷ 2)
                                               = 2642976 x
15732
5
x x + 1380000(420100 ÷ 2)629280(420100 ÷ 2)
                                               = 2642976 x
15732
5
x x + 1380000 × 4201380000 × 100 ÷ 2629280(420100 ÷ 2)
                                               = 2642976 x
15732
5
x x + 57960000069000000629280(420100 ÷ 2)
                                               = 2642976 x
15732
5
x x + 510600000629280(420100 ÷ 2)
                                               = 2642976 x
15732
5
x x + 510600000629280 × 420 + 629280 × 100 ÷ 2
                                               = 2642976 x
15732
5
x x + 510600000264297600 + 31464000
                                               = 2642976 x
15732
5
x x + 277766400
    The equation is transformed into :
     52000000 = 2642976 x
15732
5
x x + 277766400

    
        x≈19.674791 , 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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