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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 ((（3354-X)-6140)/6140)*0.5 = ((1809+X)-3716)/3716 .
Question type: Equation
Solution:Original question:
| ( | ( | ( | 3354 | − | X | ) | − | 6140 | ) | ÷ | 6140 | ) | × | 1 2 | = | ( | ( | 1809 | + | X | ) | − | 3716 | ) | ÷ | 3716 |
| Left side of the equation = | ( | ( | 3354 | − | X | ) | − | 6140 | ) | ÷ | 6140 | × | 1 2 |
| = | ( | ( | 3354 | − | X | ) | − | 6140 | ) | × | 1 12280 |
| = | ( | 3354 | − | X | ) | × | 1 12280 | − | 6140 | × | 1 12280 |
| = | ( | 3354 | − | X | ) | × | 1 12280 | − | 1 2 |
| = | 3354 | × | 1 12280 | − | X | × | 1 12280 | − | 1 2 |
| = | 1677 6140 | − | X | × | 1 12280 | − | 1 2 |
| = | - | 1393 6140 | − | 1 12280 | X |
| - | 1393 6140 | − | 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 |
| - | 1393 6140 | − | 1 12280 | X | = | - | 1907 3716 | + | 1 3716 | X |
Transposition :
| - | 1 12280 | X | − | 1 3716 | X | = | - | 1907 3716 | + | 1393 6140 |
Combine the items on the left of the equation:
| - | 3999 11408120 | X | = | - | 1907 3716 | + | 1393 6140 |
Combine the items on the right of the equation:
| - | 3999 11408120 | X | = | - | 408287 1426015 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
408287 1426015 | = | 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 | = | 408287 1426015 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 408287 1426015 | ÷ | 3999 11408120 |
| = | 408287 1426015 | × | 11408120 3999 |
| = | 408287 929 | × | 7432 3999 |
We obtained :
| X | = | 3034388984 3715071 |
By reducing fraction, we can get:
| X | = | 3266296 3999 |
Convert the result to decimal form :
| X | = | 816.778195 |