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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 8842*330+500*(1300-x) = (128*x/(1300-x)+(x-60)*128/(1300-x))/2*60*1400+0.5*100*128*x*x/(1300-x) .
    Question type: Equation
    Solution:Original question:
     8842 × 330 + 500(1300 x ) = (128 x ÷ (1300 x ) + ( x 60) × 128 ÷ (1300 x )) ÷ 2 × 60 × 1400 +
1
2
× 100 × 128 x x ÷ (1300 x )
     Multiply both sides of the equation by:(1300 x )
     8842 × 330(1300 x ) + 500(1300 x )(1300 x ) = (128 x ÷ (1300 x ) + ( x 60) × 128 ÷ (1300 x )) ÷ 2 × 60 × 1400(1300 x ) +
1
2
× 100 × 128 x x
    Remove a bracket on the left of the equation::
     8842 × 330 × 13008842 × 330 x + 500(1300 x )(1300 x ) = (128 x ÷ (1300 x ) + ( x 60) × 128 ÷ (1300 x )) ÷ 2 × 60 × 1400(1300 x ) +
1
2
× 100 × 128 x x
    Remove a bracket on the right of the equation::
     8842 × 330 × 13008842 × 330 x + 500(1300 x )(1300 x ) = 128 x ÷ (1300 x ) ÷ 2 × 60 × 1400(1300 x ) + ( x 60) × 128 ÷ (1300 x ) ÷ 2 × 60
    The equation is reduced to :
     37932180002917860 x + 500(1300 x )(1300 x ) = 5376000 x ÷ (1300 x ) × (1300 x ) + ( x 60) × 5376000 ÷ (1300 x ) × (1300 x ) + 6400 x x
     Multiply both sides of the equation by:(1300 x )
     3793218000(1300 x )2917860 x (1300 x ) + 500(1300 x )(1300 x )(1300 x ) = 5376000 x (1300 x ) + ( x 60) × 5376000(1300 x ) + 6400 x x (1300 x )
    Remove a bracket on the left of the equation:
     3793218000 × 13003793218000 x 2917860 x (1300 x ) + 500(1300 x )(1300 x )(1300 x ) = 5376000 x (1300 x ) + ( x 60) × 5376000(1300 x ) + 6400 x x (1300 x )
    Remove a bracket on the right of the equation::
     3793218000 × 13003793218000 x 2917860 x (1300 x ) + 500(1300 x )(1300 x )(1300 x ) = 5376000 x × 13005376000 x x + ( x 60) × 5376000(1300 x ) + 6400 x x

    the solutions is:
        x≈296.691245 , keep 6 decimal places
    
    There are 1 solution(s).


解方程的详细方法请参阅:《方程的解法》



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