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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*1.24）+7000/(x*1.12)+10000/(x*1.12) = 150 .
    Question type: Equation
    Solution:Original question:
     7600 ÷ ( x ×
31
25
) + 7000 ÷ ( x ×
28
25
) + 10000 ÷ ( x ×
28
25
) = 150
     Multiply both sides of the equation by:( x ×
31
25
)
     7600 + 7000 ÷ (1 ×
28
25
) × (1 ×
31
25
) + 10000 ÷ (1 ×
28
25
) × (1 ×
31
25
) = 150( x ×
31
25
)
    Remove a bracket on the left of the equation:：
     7600 + 7000 ÷ (1 ×
28
25
) × 1 ×
31
25
 + 10000 ÷ (1 ×
28
25
) × (1 ×
31
25
) = 150( x ×
31
25
)
    Remove a bracket on the right of the equation:：
     7600 + 7000 ÷ (1 ×
28
25
) × 1 ×
31
25
 + 10000 ÷ (1 ×
28
25
) × (1 ×
31
25
) = 150 x ×
31
25
    The equation is reduced to :
     7600 + 8680 ÷ (1 ×
28
25
) + 10000 ÷ (1 ×
28
25
) × (1 ×
31
25
) = 186 x
     Multiply both sides of the equation by:(1 ×
28
25
)
     7600(1 ×
28
25
) + 8680 + 10000 ÷ (1 ×
28
25
) × (1 ×
31
25
)(1 ×
28
25
) = 186 x (1 ×
28
25
)
    Remove a bracket on the left of the equation:
     7600 × 1 ×
28
25
 + 8680 + 10000 ÷ (1 ×
28
25
) × (1 ×
31
25
)(1 ×
28
25
) = 186 x (1 ×
28
25
)
    Remove a bracket on the right of the equation:：
     7600 × 1 ×
28
25
 + 8680 + 10000 ÷ (1 ×
28
25
) × (1 ×
31
25
)(1 ×
28
25
) = 186 x × 1 ×
28
25
    The equation is reduced to :
     8512 + 8680 + 10000 ÷ (1 ×
28
25
) × (1 ×
31
25
)(1 ×
28
25
) =
5208
25
 x
    The equation is reduced to :
     17192 + 10000 ÷ (1 ×
28
25
) × (1 ×
31
25
)(1 ×
28
25
) =
5208
25
 x
     Multiply both sides of the equation by:(1 ×
28
25
)
     17192(1 ×
28
25
) + 10000(1 ×
31
25
)(1 ×
28
25
) =
5208
25
 x (1 ×
28
25
)
    Remove a bracket on the left of the equation:
     17192 × 1 ×
28
25
 + 10000(1 ×
31
25
)(1 ×
28
25
) =
5208
25
 x (1 ×
28
25
)
    Remove a bracket on the right of the equation:：
     17192 × 1 ×
28
25
 + 10000(1 ×
31
25
)(1 ×
28
25
) =
5208
25
 x × 1 ×
28
25
    The equation is reduced to :
     
481376
25
 + 10000(1 ×
31
25
)(1 ×
28
25
) =
145824
625
 x
    Remove a bracket on the left of the equation:
     
481376
25
 + 10000 × 1 ×
31
25
(1 ×
28
25
) =
145824
625
 x
    The equation is reduced to :
     
481376
25
 + 12400(1 ×
28
25
) =
145824
625
 x
    Remove a bracket on the left of the equation:
     
481376
25
 + 12400 × 1 ×
28
25
 =
145824
625
 x
    The equation is reduced to :
     
481376
25
 + 13888 =
145824
625
 x
    The equation is reduced to :
     
828576
25
 =
145824
625
 x

    Transposition :
      -
145824
625
 x = -
828576
25

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
828576
25
 =
145824
625
 x

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
145824
625
 x =
828576
25

    The coefficient of the unknown number is reduced to 1 :
      x =
828576
25
 ÷
145824
625
        =
828576
25
 ×
625
145824
        = 1233 ×
25
217

    We obtained :
      x =
30825
217
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 142.050691



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