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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.
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    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 7500/(112×1.12+x)+10000/(112+x)+10000/(112+x) = 150 .
    Question type: Equation
    Solution:Original question:
     7500 ÷ (112 ×
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+ x ) + 10000 ÷ (112 + x ) + 10000 ÷ (112 + x ) = 150
     Multiply both sides of the equation by:(112 ×
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+ x )
     7500 + 10000 ÷ (112 + x ) × (112 ×
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+ x ) + 10000 ÷ (112 + x ) × (112 ×
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+ x ) = 150(112 ×
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+ x )
    Remove a bracket on the left of the equation::
     7500 + 10000 ÷ (112 + x ) × 112 ×
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+ 10000 ÷ (112 + x ) × x + 10000 ÷ (112 + x ) × (112 ×
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+ x ) = 150(112 ×
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+ x )
    Remove a bracket on the right of the equation::
     7500 + 10000 ÷ (112 + x ) × 112 ×
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+ 10000 ÷ (112 + x ) × x + 10000 ÷ (112 + x ) × (112 ×
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+ x ) = 150 × 112 ×
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+ 150 x
    The equation is reduced to :
     7500 + 1254400 ÷ (112 + x ) + 10000 ÷ (112 + x ) × x + 10000 ÷ (112 + x ) × (112 ×
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+ x ) = 18816 + 150 x
     Multiply both sides of the equation by:(112 + x )
     7500(112 + x ) + 1254400 + 10000 x + 10000(112 ×
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+ x ) = 18816(112 + x ) + 150 x (112 + x )
    Remove a bracket on the left of the equation:
     7500 × 112 + 7500 x + 1254400 + 10000 x + 10000(112 ×
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+ x ) = 18816(112 + x ) + 150 x (112 + x )
    Remove a bracket on the right of the equation::
     7500 × 112 + 7500 x + 1254400 + 10000 x + 10000(112 ×
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+ x ) = 18816 × 112 + 18816 x + 150 x (112 + x )
    The equation is reduced to :
     840000 + 7500 x + 1254400 + 10000 x + 10000(112 ×
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+ x ) = 2107392 + 18816 x + 150 x (112 + x )
    The equation is reduced to :
     2094400 + 17500 x + 10000(112 ×
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+ x ) = 2107392 + 18816 x + 150 x (112 + x )
    Remove a bracket on the left of the equation:
     2094400 + 17500 x + 10000 × 112 ×
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+ 10000 x = 2107392 + 18816 x + 150 x (112 + x )
    Remove a bracket on the right of the equation::
     2094400 + 17500 x + 10000 × 112 ×
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+ 10000 x = 2107392 + 18816 x + 150 x × 112 + 150 x x
    The equation is reduced to :
     2094400 + 17500 x + 1254400 + 10000 x = 2107392 + 18816 x + 16800 x + 150 x x
    The equation is reduced to :
     3348800 + 27500 x = 2107392 + 35616 x + 150 x x

    The solution of the equation:
        x1≈-121.963481 , keep 6 decimal places
        x2≈67.856815 , 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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