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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+23.76)+6700/(x+11.88)+10000/(x+11.88) = 150 .
    Question type: Equation
    Solution:Original question:
     7600 ÷ ( x +
594
25
) + 6700 ÷ ( x +
297
25
) + 10000 ÷ ( x +
297
25
) = 150
     Multiply both sides of the equation by:( x +
594
25
)
     7600 + 6700 ÷ ( x +
297
25
) × ( x +
594
25
) + 10000 ÷ ( x +
297
25
) × ( x +
594
25
) = 150( x +
594
25
)
    Remove a bracket on the left of the equation::
     7600 + 6700 ÷ ( x +
297
25
) × x + 6700 ÷ ( x +
297
25
) ×
594
25
+ 10000 ÷ ( x +
297
25
) × ( x +
594
25
) = 150( x +
594
25
)
    Remove a bracket on the right of the equation::
     7600 + 6700 ÷ ( x +
297
25
) × x + 6700 ÷ ( x +
297
25
) ×
594
25
+ 10000 ÷ ( x +
297
25
) × ( x +
594
25
) = 150 x + 150 ×
594
25
    The equation is reduced to :
     7600 + 6700 ÷ ( x +
297
25
) × x + 159192 ÷ ( x +
297
25
) + 10000 ÷ ( x +
297
25
) × ( x +
594
25
) = 150 x + 3564
     Multiply both sides of the equation by:( x +
297
25
)
     7600( x +
297
25
) + 6700 x + 159192 + 10000( x +
594
25
) = 150 x ( x +
297
25
) + 3564( x +
297
25
)
    Remove a bracket on the left of the equation:
     7600 x + 7600 ×
297
25
+ 6700 x + 159192 + 10000( x +
594
25
) = 150 x ( x +
297
25
) + 3564( x +
297
25
)
    Remove a bracket on the right of the equation::
     7600 x + 7600 ×
297
25
+ 6700 x + 159192 + 10000( x +
594
25
) = 150 x x + 150 x ×
297
25
+ 3564( x +
297
25
)
    The equation is reduced to :
     7600 x + 90288 + 6700 x + 159192 + 10000( x +
594
25
) = 150 x x + 1782 x + 3564( x +
297
25
)
    The equation is reduced to :
     14300 x + 249480 + 10000( x +
594
25
) = 150 x x + 1782 x + 3564( x +
297
25
)
    Remove a bracket on the left of the equation:
     14300 x + 249480 + 10000 x + 10000 ×
594
25
= 150 x x + 1782 x + 3564( x +
297
25
)
    Remove a bracket on the right of the equation::
     14300 x + 249480 + 10000 x + 10000 ×
594
25
= 150 x x + 1782 x + 3564 x + 3564 ×
297
25
    The equation is reduced to :
     14300 x + 249480 + 10000 x + 237600 = 150 x x + 1782 x + 3564 x +
1058508
25
    The equation is reduced to :
     24300 x + 487080 = 150 x x + 5346 x +
1058508
25

    The solution of the equation:
        x1≈-20.226496 , keep 6 decimal places
        x2≈146.586496 , 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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