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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 7600/(150+x)+25200/(210+x) = 150 .
    Question type: Equation
    Solution:Original question:
     7600 ÷ (150 + x ) + 25200 ÷ (210 + x ) = 150
     Multiply both sides of the equation by:(150 + x )
     7600 + 25200 ÷ (210 + x ) × (150 + x ) = 150(150 + x )
    Remove a bracket on the left of the equation::
     7600 + 25200 ÷ (210 + x ) × 150 + 25200 ÷ (210 + x ) × x = 150(150 + x )
    Remove a bracket on the right of the equation::
     7600 + 25200 ÷ (210 + x ) × 150 + 25200 ÷ (210 + x ) × x = 150 × 150 + 150 x
    The equation is reduced to :
     7600 + 3780000 ÷ (210 + x ) + 25200 ÷ (210 + x ) × x = 22500 + 150 x
     Multiply both sides of the equation by:(210 + x )
     7600(210 + x ) + 3780000 + 25200 x = 22500(210 + x ) + 150 x (210 + x )
    Remove a bracket on the left of the equation:
     7600 × 210 + 7600 x + 3780000 + 25200 x = 22500(210 + x ) + 150 x (210 + x )
    Remove a bracket on the right of the equation::
     7600 × 210 + 7600 x + 3780000 + 25200 x = 22500 × 210 + 22500 x + 150 x (210 + x )
    The equation is reduced to :
     1596000 + 7600 x + 3780000 + 25200 x = 4725000 + 22500 x + 150 x (210 + x )
    The equation is reduced to :
     5376000 + 32800 x = 4725000 + 22500 x + 150 x (210 + x )
    Remove a bracket on the right of the equation::
     5376000 + 32800 x = 4725000 + 22500 x + 150 x × 210 + 150 x x
    The equation is reduced to :
     5376000 + 32800 x = 4725000 + 22500 x + 31500 x + 150 x x
    The equation is reduced to :
     5376000 + 32800 x = 4725000 + 54000 x + 150 x x

    The solution of the equation:
        x1≈-167.278145 , keep 6 decimal places
        x2≈25.944812 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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