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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 13.8×300×x×(822-360+0.5x) = 330×982×822-330×628×504 .
    Question type: Equation
    Solution:Original question:
     
69
5
× 300 x (822360 +
1
2
x ) = 330 × 982 × 822330 × 628 × 504
     Left side of the equation = 4140 x (822360 +
1
2
x )
    The equation is transformed into :
     4140 x (822360 +
1
2
x ) = 330 × 982 × 822330 × 628 × 504
    Remove the bracket on the left of the equation:
     Left side of the equation = 4140 x × 8224140 x × 360 + 4140 x ×
1
2
x
                                             = 3403080 x 1490400 x + 2070 x x
                                             = 1912680 x + 2070 x x
    The equation is transformed into :
     1912680 x + 2070 x x = 330 × 982 × 822330 × 628 × 504
     Right side of the equation = 266377320104448960
                                               = 161928360
    The equation is transformed into :
     1912680 x + 2070 x x = 161928360

    
        x≈78.065052 , 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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