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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.
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 ((（5168-X)-6140)/6140)*0.5 = ((1809+X)-3716)/3716 .
Question type: Equation
Solution:Original question:
| ( | ( | ( | 5168 | − | X | ) | − | 6140 | ) | ÷ | 6140 | ) | × | 1 2 | = | ( | ( | 1809 | + | X | ) | − | 3716 | ) | ÷ | 3716 |
| Left side of the equation = | ( | ( | 5168 | − | X | ) | − | 6140 | ) | ÷ | 6140 | × | 1 2 |
| = | ( | ( | 5168 | − | X | ) | − | 6140 | ) | × | 1 12280 |
| = | ( | 5168 | − | X | ) | × | 1 12280 | − | 6140 | × | 1 12280 |
| = | ( | 5168 | − | X | ) | × | 1 12280 | − | 1 2 |
| = | 5168 | × | 1 12280 | − | X | × | 1 12280 | − | 1 2 |
| = | 646 1535 | − | X | × | 1 12280 | − | 1 2 |
| = | - | 243 3070 | − | 1 12280 | X |
| - | 243 3070 | − | 1 12280 | X | = | ( | ( | 1809 | + | X | ) | − | 3716 | ) | ÷ | 3716 |
| Right side of the equation = | ( | 1809 | + | X | ) | × | 1 3716 | − | 3716 | × | 1 3716 |
| = | ( | 1809 | + | X | ) | × | 1 3716 | − | 1 |
| = | 1809 | × | 1 3716 | + | X | × | 1 3716 | − | 1 |
| = | 1809 3716 | + | X | × | 1 3716 | − | 1 |
| = | - | 1907 3716 | + | 1 3716 | X |
| - | 243 3070 | − | 1 12280 | X | = | - | 1907 3716 | + | 1 3716 | X |
Transposition :
| - | 1 12280 | X | − | 1 3716 | X | = | - | 1907 3716 | + | 243 3070 |
Combine the items on the left of the equation:
| - | 3999 11408120 | X | = | - | 1907 3716 | + | 243 3070 |
Combine the items on the right of the equation:
| - | 3999 11408120 | X | = | - | 2475751 5704060 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2475751 5704060 | = | 3999 11408120 | 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 :
3999 11408120 | X | = | 2475751 5704060 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 2475751 5704060 | ÷ | 3999 11408120 |
| = | 2475751 5704060 | × | 11408120 3999 |
| = | 2475751 929 | × | 1858 3999 |
We obtained :
| X | = | 4599945358 3715071 |
By reducing fraction, we can get:
| X | = | 4951502 3999 |
Convert the result to decimal form :
| X | = | 1238.185046 |