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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 8200/(x+112*0.12)+10000/x+10000/(x+22.4) = 150 .
    Question type: Equation
    Solution:Original question:
     8200 ÷ ( x + 112 ×
3
25
) + 10000 ÷ x + 10000 ÷ ( x +
112
5
) = 150
     Multiply both sides of the equation by:( x + 112 ×
3
25
)
     8200 + 10000 ÷ x × ( x + 112 ×
3
25
) + 10000 ÷ ( x +
112
5
) × ( x + 112 ×
3
25
) = 150( x + 112 ×
3
25
)
    Remove a bracket on the left of the equation::
     8200 + 10000 ÷ x × x + 10000 ÷ x × 112 ×
3
25
+ 10000 ÷ ( x +
112
5
) × ( x + 112 ×
3
25
) = 150( x + 112 ×
3
25
)
    Remove a bracket on the right of the equation::
     8200 + 10000 ÷ x × x + 10000 ÷ x × 112 ×
3
25
+ 10000 ÷ ( x +
112
5
) × ( x + 112 ×
3
25
) = 150 x + 150 × 112 ×
3
25
    The equation is reduced to :
     8200 + 10000 ÷ x × x + 134400 ÷ x + 10000 ÷ ( x +
112
5
) × ( x + 112 ×
3
25
) = 150 x + 2016
     Multiply both sides of the equation by: x
     8200 x + 10000 ÷ 1 × 1 x + 134400 + 10000 ÷ ( x +
112
5
) × ( x + 112 ×
3
25
) x = 150 x x + 2016 x
    Remove a bracket on the left of the equation:
     8200 x + 10000 ÷ 1 × 1 x + 134400 + 10000 ÷ ( x +
112
5
) × x x + 10000 = 150 x x + 2016 x
    The equation is reduced to :
     8200 x + 10000 x + 134400 + 10000 ÷ ( x +
112
5
) × x x + 134400 ÷ ( x +
112
5
) × x = 150 x x + 2016 x
    The equation is reduced to :
     18200 x + 134400 + 10000 ÷ ( x +
112
5
) × x x + 134400 ÷ ( x +
112
5
) × x = 150 x x + 2016 x
     Multiply both sides of the equation by:( x +
112
5
)
     18200 x ( x +
112
5
) + 134400( x +
112
5
) + 10000 x x + 134400 x = 150 x x ( x +
112
5
) + 2016 x ( x +
112
5
)
    Remove a bracket on the left of the equation:
     18200 x x + 18200 x ×
112
5
+ 134400( x +
112
5
) + 10000 x x + 134400 = 150 x x ( x +
112
5
) + 2016 x ( x +
112
5
)
    Remove a bracket on the right of the equation::
     18200 x x + 18200 x ×
112
5
+ 134400( x +
112
5
) + 10000 x x + 134400 = 150 x x x + 150 x x ×
112
5
+ 2016 x ( x +
112
5
)
    The equation is reduced to :
     18200 x x + 407680 x + 134400( x +
112
5
) + 10000 x x + 134400 x = 150 x x x + 3360 x x + 2016 x ( x +
112
5
)
    The equation is reduced to :
     18200 x x + 542080 x + 134400( x +
112
5
) + 10000 x x = 150 x x x + 3360 x x + 2016 x ( x +
112
5
)
    Remove a bracket on the left of the equation:
     18200 x x + 542080 x + 134400 x + 134400 ×
112
5
+ 10000 x x = 150 x x x + 3360 x x + 2016 x ( x +
112
5
)
    Remove a bracket on the right of the equation::
     18200 x x + 542080 x + 134400 x + 134400 ×
112
5
+ 10000 x x = 150 x x x + 3360 x x + 2016 x x + 2016 x
    The equation is reduced to :
     18200 x x + 542080 x + 134400 x + 3010560 + 10000 x x = 150 x x x + 3360 x x + 2016 x x +
225792
5
x
    The equation is reduced to :
     18200 x x + 676480 x + 3010560 + 10000 x x = 150 x x x + 3360 x x + 2016 x x +
225792
5
x

    The solution of the equation:
        x1≈-18.242835 , keep 6 decimal places
        x2≈-6.228673 , keep 6 decimal places
        x3≈176.631508 , keep 6 decimal places
    
    There are 3 solution(s).


解程的详细方法请参阅:《方程的解法》



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