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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+1845-X)-6140)/6140)*0.5 = ((1845+X)-3716)/3716 .
Question type: Equation
Solution:Original question:
| ( | ( | ( | 5168 | + | 1845 | − | X | ) | − | 6140 | ) | ÷ | 6140 | ) | × | 1 2 | = | ( | ( | 1845 | + | X | ) | − | 3716 | ) | ÷ | 3716 |
| Left side of the equation = | ( | ( | 5168 | + | 1845 | − | X | ) | − | 6140 | ) | ÷ | 6140 | × | 1 2 |
| = | ( | ( | 5168 | + | 1845 | − | X | ) | − | 6140 | ) | × | 1 12280 |
| = | ( | 5168 | + | 1845 | − | X | ) | × | 1 12280 | − | 6140 | × | 1 12280 |
| = | ( | 5168 | + | 1845 | − | X | ) | × | 1 12280 | − | 1 2 |
| = | 5168 | × | 1 12280 | + | 1845 | × | 1 12280 | − | X | × | 1 12280 | − | 1 2 |
| = | 646 1535 | + | 369 2456 | − | X | × | 1 12280 | − | 1 2 |
| = | 873 12280 | − | 1 12280 | X |
873 12280 | − | 1 12280 | X | = | ( | ( | 1845 | + | X | ) | − | 3716 | ) | ÷ | 3716 |
| Right side of the equation = | ( | 1845 | + | X | ) | × | 1 3716 | − | 3716 | × | 1 3716 |
| = | ( | 1845 | + | X | ) | × | 1 3716 | − | 1 |
| = | 1845 | × | 1 3716 | + | X | × | 1 3716 | − | 1 |
| = | 1845 3716 | + | X | × | 1 3716 | − | 1 |
| = | - | 1871 3716 | + | 1 3716 | X |
873 12280 | − | 1 12280 | X | = | - | 1871 3716 | + | 1 3716 | X |
Transposition :
| - | 1 12280 | X | − | 1 3716 | X | = | - | 1871 3716 | − | 873 12280 |
Combine the items on the left of the equation:
| - | 3999 11408120 | X | = | - | 1871 3716 | − | 873 12280 |
Combine the items on the right of the equation:
| - | 3999 11408120 | X | = | - | 6554987 11408120 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
6554987 11408120 | = | 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 | = | 6554987 11408120 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 6554987 11408120 | ÷ | 3999 11408120 |
| = | 6554987 11408120 | × | 11408120 3999 |
| = | 6554987 929 | × | 929 3999 |
We obtained :
| X | = | 6089582923 3715071 |
By reducing fraction, we can get:
| X | = | 6554987 3999 |
Convert the result to decimal form :
| X | = | 1639.156539 |