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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)+27600/(210+x) = 142 .
    Question type: Equation
    Solution:Original question:
     7600 ÷ (150 + x ) + 27600 ÷ (210 + x ) = 142
     Multiply both sides of the equation by:(150 + x )
     7600 + 27600 ÷ (210 + x ) × (150 + x ) = 142(150 + x )
    Remove a bracket on the left of the equation::
     7600 + 27600 ÷ (210 + x ) × 150 + 27600 ÷ (210 + x ) × x = 142(150 + x )
    Remove a bracket on the right of the equation::
     7600 + 27600 ÷ (210 + x ) × 150 + 27600 ÷ (210 + x ) × x = 142 × 150 + 142 x
    The equation is reduced to :
     7600 + 4140000 ÷ (210 + x ) + 27600 ÷ (210 + x ) × x = 21300 + 142 x
     Multiply both sides of the equation by:(210 + x )
     7600(210 + x ) + 4140000 + 27600 x = 21300(210 + x ) + 142 x (210 + x )
    Remove a bracket on the left of the equation:
     7600 × 210 + 7600 x + 4140000 + 27600 x = 21300(210 + x ) + 142 x (210 + x )
    Remove a bracket on the right of the equation::
     7600 × 210 + 7600 x + 4140000 + 27600 x = 21300 × 210 + 21300 x + 142 x (210 + x )
    The equation is reduced to :
     1596000 + 7600 x + 4140000 + 27600 x = 4473000 + 21300 x + 142 x (210 + x )
    The equation is reduced to :
     5736000 + 35200 x = 4473000 + 21300 x + 142 x (210 + x )
    Remove a bracket on the right of the equation::
     5736000 + 35200 x = 4473000 + 21300 x + 142 x × 210 + 142 x x
    The equation is reduced to :
     5736000 + 35200 x = 4473000 + 21300 x + 29820 x + 142 x x
    The equation is reduced to :
     5736000 + 35200 x = 4473000 + 51120 x + 142 x x

    The solution of the equation:
        x1≈-165.768139 , keep 6 decimal places
        x2≈53.655463 , 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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