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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/(x+13.44)+10000/(x+22.4)+10000/(x+22.4) = 150 .
    Question type: Equation
    Solution:Original question:
     7600 ÷ ( x +
336
25
) + 10000 ÷ ( x +
112
5
) + 10000 ÷ ( x +
112
5
) = 150
     Multiply both sides of the equation by:( x +
336
25
)
     7600 + 10000 ÷ ( x +
112
5
) × ( x +
336
25
) + 10000 ÷ ( x +
112
5
) × ( x +
336
25
) = 150( x +
336
25
)
    Remove a bracket on the left of the equation::
     7600 + 10000 ÷ ( x +
112
5
) × x + 10000 ÷ ( x +
112
5
) ×
336
25
+ 10000 ÷ ( x +
112
5
) × ( x +
336
25
) = 150( x +
336
25
)
    Remove a bracket on the right of the equation::
     7600 + 10000 ÷ ( x +
112
5
) × x + 10000 ÷ ( x +
112
5
) ×
336
25
+ 10000 ÷ ( x +
112
5
) × ( x +
336
25
) = 150 x + 150 ×
336
25
    The equation is reduced to :
     7600 + 10000 ÷ ( x +
112
5
) × x + 134400 ÷ ( x +
112
5
) + 10000 ÷ ( x +
112
5
) × ( x +
336
25
) = 150 x + 2016
     Multiply both sides of the equation by:( x +
112
5
)
     7600( x +
112
5
) + 10000 x + 134400 + 10000( x +
336
25
) = 150 x ( x +
112
5
) + 2016( x +
112
5
)
    Remove a bracket on the left of the equation:
     7600 x + 7600 ×
112
5
+ 10000 x + 134400 + 10000( x +
336
25
) = 150 x ( x +
112
5
) + 2016( x +
112
5
)
    Remove a bracket on the right of the equation::
     7600 x + 7600 ×
112
5
+ 10000 x + 134400 + 10000( x +
336
25
) = 150 x x + 150 x ×
112
5
+ 2016( x +
112
5
)
    The equation is reduced to :
     7600 x + 170240 + 10000 x + 134400 + 10000( x +
336
25
) = 150 x x + 3360 x + 2016( x +
112
5
)
    The equation is reduced to :
     17600 x + 304640 + 10000( x +
336
25
) = 150 x x + 3360 x + 2016( x +
112
5
)
    Remove a bracket on the left of the equation:
     17600 x + 304640 + 10000 x + 10000 ×
336
25
= 150 x x + 3360 x + 2016( x +
112
5
)
    Remove a bracket on the right of the equation::
     17600 x + 304640 + 10000 x + 10000 ×
336
25
= 150 x x + 3360 x + 2016 x + 2016 ×
112
5
    The equation is reduced to :
     17600 x + 304640 + 10000 x + 134400 = 150 x x + 3360 x + 2016 x +
225792
5
    The equation is reduced to :
     27600 x + 439040 = 150 x x + 5376 x +
225792
5

    The solution of the equation:
        x1≈-15.996211 , keep 6 decimal places
        x2≈164.156211 , 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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