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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 (12962-X*0.03/1.03)*1.12 = 229000-X .
Question type: Equation
Solution:Original question:
| ( | 12962 | − | X | × | 3 100 | ÷ | 103 100 | ) | × | 28 25 | = | 229000 | − | X |
| Left side of the equation = | 12962 | × | 28 25 | − | X | × | 3 100 | ÷ | 103 100 | × | 28 25 |
| = | 362936 25 | − | X | × | 84 2575 |
362936 25 | − | 84 2575 | X | = | 229000 | − | X |
Transposition :
| - | 84 2575 | X | + | X | = | 229000 | − | 362936 25 |
Combine the items on the left of the equation:
| - | - | 2491 2575 | X | = | 229000 | − | 362936 25 |
Combine the items on the right of the equation:
| - | - | 2491 2575 | X | = | 5362064 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 5362064 25 | = | - | 2491 2575 | 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 :
| - | 2491 2575 | X | = | - | 5362064 25 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 5362064 25 | ÷ | 2491 2575 |
| = | 5362064 25 | × | 2575 2491 |
| = | 5362064 | × | 103 2491 |
We obtained :
| X | = | 552292592 2491 |
Convert the result to decimal form :
| X | = | 221715.211562 |