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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 10449*330+500*(1100-x) = (128*x/(1100-x)+(x-60)*128/(1100-x))/2*60*1400+0.5*100*128*x*x/(1100-x) .
    Question type: Equation
    Solution:Original question:
     10449 × 330 + 500(1100 x ) = (128 x ÷ (1100 x ) + ( x 60) × 128 ÷ (1100 x )) ÷ 2 × 60 × 1400 +
1
2
× 100 × 128 x x ÷ (1100 x )
     Multiply both sides of the equation by:(1100 x )
     10449 × 330(1100 x ) + 500(1100 x )(1100 x ) = (128 x ÷ (1100 x ) + ( x 60) × 128 ÷ (1100 x )) ÷ 2 × 60 × 1400(1100 x ) +
1
2
× 100 × 128 x x
    Remove a bracket on the left of the equation::
     10449 × 330 × 110010449 × 330 x + 500(1100 x )(1100 x ) = (128 x ÷ (1100 x ) + ( x 60) × 128 ÷ (1100 x )) ÷ 2 × 60 × 1400(1100 x ) +
1
2
× 100 × 128 x x
    Remove a bracket on the right of the equation::
     10449 × 330 × 110010449 × 330 x + 500(1100 x )(1100 x ) = 128 x ÷ (1100 x ) ÷ 2 × 60 × 1400(1100 x ) + ( x 60) × 128 ÷ (1100 x ) ÷ 2 × 60
    The equation is reduced to :
     37929870003448170 x + 500(1100 x )(1100 x ) = 5376000 x ÷ (1100 x ) × (1100 x ) + ( x 60) × 5376000 ÷ (1100 x ) × (1100 x ) + 6400 x x
     Multiply both sides of the equation by:(1100 x )
     3792987000(1100 x )3448170 x (1100 x ) + 500(1100 x )(1100 x )(1100 x ) = 5376000 x (1100 x ) + ( x 60) × 5376000(1100 x ) + 6400 x x (1100 x )
    Remove a bracket on the left of the equation:
     3792987000 × 11003792987000 x 3448170 x (1100 x ) + 500(1100 x )(1100 x )(1100 x ) = 5376000 x (1100 x ) + ( x 60) × 5376000(1100 x ) + 6400 x x (1100 x )
    Remove a bracket on the right of the equation::
     3792987000 × 11003792987000 x 3448170 x (1100 x ) + 500(1100 x )(1100 x )(1100 x ) = 5376000 x × 11005376000 x x + ( x 60) × 5376000(1100 x ) + 6400 x x

    the solutions is:
        x≈278.598584 , 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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