Mathematics
         
语言：中文    Language:English
Equations   
Fold
Unary equation
Multivariate equation
Math OP  
Unfold
Linear algebra      
Unfold
Derivative function
Function image
Hot issues
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）+6700/(x*1.12)+10000/(x*1.12) = 150 .
    Question type: Equation
    Solution:Original question:
     7600 ÷ ( x ×
31
25
) + 6700 ÷ ( x ×
28
25
) + 10000 ÷ ( x ×
28
25
) = 150
     Multiply both sides of the equation by:( x ×
31
25
)
     7600 + 6700 ÷ (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 + 6700 ÷ (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 + 6700 ÷ (1 ×
28
25
) × 1 ×
31
25
 + 10000 ÷ (1 ×
28
25
) × (1 ×
31
25
) = 150 x ×
31
25
    The equation is reduced to :
     7600 + 8308 ÷ (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
) + 8308 + 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
 + 8308 + 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
 + 8308 + 10000 ÷ (1 ×
28
25
) × (1 ×
31
25
)(1 ×
28
25
) = 186 x × 1 ×
28
25
    The equation is reduced to :
     8512 + 8308 + 10000 ÷ (1 ×
28
25
) × (1 ×
31
25
)(1 ×
28
25
) =
5208
25
 x
    The equation is reduced to :
     16820 + 10000 ÷ (1 ×
28
25
) × (1 ×
31
25
)(1 ×
28
25
) =
5208
25
 x
     Multiply both sides of the equation by:(1 ×
28
25
)
     16820(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:
     16820 × 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:：
     16820 × 1 ×
28
25
 + 10000(1 ×
31
25
)(1 ×
28
25
) =
5208
25
 x × 1 ×
28
25
    The equation is reduced to :
     
94192
5
 + 10000(1 ×
31
25
)(1 ×
28
25
) =
145824
625
 x
    Remove a bracket on the left of the equation:
     
94192
5
 + 10000 × 1 ×
31
25
(1 ×
28
25
) =
145824
625
 x
    The equation is reduced to :
     
94192
5
 + 12400(1 ×
28
25
) =
145824
625
 x
    Remove a bracket on the left of the equation:
     
94192
5
 + 12400 × 1 ×
28
25
 =
145824
625
 x
    The equation is reduced to :
     
94192
5
 + 13888 =
145824
625
 x
    The equation is reduced to :
     
163632
5
 =
145824
625
 x

    Transposition :
      -
145824
625
 x = -
163632
5

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
163632
5
 =
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 =
163632
5

    The coefficient of the unknown number is reduced to 1 :
      x =
163632
5
 ÷
145824
625
        =
163632
5
 ×
625
145824
        = 487 ×
125
434

    We obtained :
      x =
60875
434
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 140.264977



Your problem has not been solved here? Please go to the Hot Problems section！


Return



  New addition:Lenders ToolBox module（Specific location：Math OP > Lenders ToolBox ），welcome。