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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 = ((1206+X)-3716)/3716 .
Question type: Equation
Solution:Original question:
| ( | ( | ( | 3354 | − | X | ) | − | 6140 | ) | ÷ | 6140 | ) | × | 1 2 | = | ( | ( | 1206 | + | 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 | = | ( | ( | 1206 | + | X | ) | − | 3716 | ) | ÷ | 3716 |
| Right side of the equation = | ( | 1206 | + | X | ) | × | 1 3716 | − | 3716 | × | 1 3716 |
| = | ( | 1206 | + | X | ) | × | 1 3716 | − | 1 |
| = | 1206 | × | 1 3716 | + | X | × | 1 3716 | − | 1 |
| = | 603 1858 | + | X | × | 1 3716 | − | 1 |
| = | - | 1255 1858 | + | 1 3716 | X |
| - | 1393 6140 | − | 1 12280 | X | = | - | 1255 1858 | + | 1 3716 | X |
Transposition :
| - | 1 12280 | X | − | 1 3716 | X | = | - | 1255 1858 | + | 1393 6140 |
Combine the items on the left of the equation:
| - | 3999 11408120 | X | = | - | 1255 1858 | + | 1393 6140 |
Combine the items on the right of the equation:
| - | 3999 11408120 | X | = | - | 2558753 5704060 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2558753 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 | = | 2558753 5704060 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 2558753 5704060 | ÷ | 3999 11408120 |
| = | 2558753 5704060 | × | 11408120 3999 |
| = | 2558753 929 | × | 1858 3999 |
We obtained :
| X | = | 4754163074 3715071 |
By reducing fraction, we can get:
| X | = | 5117506 3999 |
Convert the result to decimal form :
| X | = | 1279.696424 |