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 7500/(230+74.88)+10000/(230+62.4)+30000/(230+10.4) = a .
    Question type: Equation
    Solution:Original question:
     7500 ÷ (230 +
1872
25
) + 10000 ÷ (230 +
312
5
) + 30000 ÷ (230 +
52
5
) = a
     Multiply both sides of the equation by:(230 +
1872
25
)
     7500 + 10000 ÷ (230 +
312
5
) × (230 +
1872
25
) + 30000 ÷ (230 +
52
5
) × (230 +
1872
25
) = a (230 +
1872
25
)
    Remove a bracket on the left of the equation:：
     7500 + 10000 ÷ (230 +
312
5
) × 230 + 10000 ÷ (230 +
312
5
) ×
1872
25
 + 30000 ÷ (230 +
52
5
) × (230 +
1872
25
) = a (230 +
1872
25
)
    Remove a bracket on the right of the equation:：
     7500 + 10000 ÷ (230 +
312
5
) × 230 + 10000 ÷ (230 +
312
5
) ×
1872
25
 + 30000 ÷ (230 +
52
5
) × (230 +
1872
25
) = a × 230 + a ×
1872
25
    The equation is reduced to :
     7500 + 2300000 ÷ (230 +
312
5
) + 748800 ÷ (230 +
312
5
) + 30000 ÷ (230 +
52
5
) × (230 +
1872
25
) = a × 230 + a ×
1872
25
    The equation is reduced to :
     7500 + 2300000 ÷ (230 +
312
5
) + 748800 ÷ (230 +
312
5
) + 30000 ÷ (230 +
52
5
) × (230 +
1872
25
) =
7622
25
 a
     Multiply both sides of the equation by:(230 +
312
5
)
     7500(230 +
312
5
) + 2300000 + 748800 ÷ (230 +
312
5
) × (230 +
312
5
) + 30000 ÷ (230 +
52
5
) × (230 +
1872
25
)(230 +
312
5
) =
7622
25
 a (230 +
312
5
)
    Remove a bracket on the left of the equation:
     7500 × 230 + 7500 ×
312
5
 + 2300000 + 748800 ÷ (230 +
312
5
) × (230 +
312
5
) + 30000 ÷ (230 +
52
5
) × (230 +
1872
25
)(230 +
312
5
) =
7622
25
 a (230 +
312
5
)
    Remove a bracket on the right of the equation:：
     7500 × 230 + 7500 ×
312
5
 + 2300000 + 748800 ÷ (230 +
312
5
) × (230 +
312
5
) + 30000 ÷ (230 +
52
5
) × (230 +
1872
25
)(230 +
312
5
) =
7622
25
 a × 230 +
7622
25
 a ×
312
5
    The equation is reduced to :
     1725000 + 468000 + 2300000 + 748800 ÷ (230 +
312
5
) × (230 +
312
5
) + 30000 ÷ (230 +
52
5
) × (230 +
1872
25
)(230 +
312
5
) =
350612
5
 a +
2378064
125
 a
    The equation is reduced to :
     4493000 + 748800 ÷ (230 +
312
5
) × (230 +
312
5
) + 30000 ÷ (230 +
52
5
) × (230 +
1872
25
)(230 +
312
5
) =
11143364
125
 a
     Multiply both sides of the equation by:(230 +
312
5
)
     4493000(230 +
312
5
) + 748800(230 +
312
5
) + 30000 ÷ (230 +
52
5
) × (230 +
1872
25
)(230 +
312
5
)(230 +
312
5
) =
11143364
125
 a (230 +
312
5
)
    Remove a bracket on the left of the equation:
     4493000 × 230 + 4493000 ×
312
5
 + 748800(230 +
312
5
) + 30000 ÷ (230 +
52
5
) × (230 +
1872
25
)(230 +
312
5
)(230 +
312
5
) =
11143364
125
 a (230 +
312
5
)
    Remove a bracket on the right of the equation:：
     4493000 × 230 + 4493000 ×
312
5
 + 748800(230 +
312
5
) + 30000 ÷ (230 +
52
5
) × (230 +
1872
25
)(230 +
312
5
)(230 +
312
5
) =
11143364
125
 a × 230 +
11143364
125
 a ×
312
5
    The equation is reduced to :
     1033390000 + 280363200 + 748800(230 +
312
5
) + 30000 ÷ (230 +
52
5
) × (230 +
1872
25
)(230 +
312
5
)(230 +
312
5
) =
512594744
25
 a +
3476729568
625
 a

    
        a≈183.591582 , keep 6 decimal places    
    There are 1 solution(s).

解一元一次方程的详细方法请参阅：《一元一次方程的解法》


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。