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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 （65442-2.5X）*13.2/23.2*0.9 = 19347+11X .
Question type: Equation
Solution:Original question:
| ( | 65442 | − | 5 2 | X | ) | × | 66 5 | ÷ | 116 5 | × | 9 10 | = | 19347 | + | 11 | X |
| Left side of the equation = | ( | 65442 | − | 5 2 | X | ) | × | 297 580 |
| ( | 65442 | − | 5 2 | X | ) | × | 297 580 | = | 19347 | + | 11 | X |
| Left side of the equation = | 65442 | × | 297 580 | − | 5 2 | X | × | 297 580 |
| = | 9718137 290 | − | 297 232 | X |
9718137 290 | − | 297 232 | X | = | 19347 | + | 11 | X |
Transposition :
| - | 297 232 | X | − | 11 | X | = | 19347 | − | 9718137 290 |
Combine the items on the left of the equation:
| - | 2849 232 | X | = | 19347 | − | 9718137 290 |
Combine the items on the right of the equation:
| - | 2849 232 | X | = | - | 4107507 290 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
4107507 290 | = | 2849 232 | 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 :
2849 232 | X | = | 4107507 290 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 4107507 290 | ÷ | 2849 232 |
| = | 4107507 290 | × | 232 2849 |
| = | 4107507 145 | × | 116 2849 |
We obtained :
| X | = | 476470812 413105 |
By reducing fraction, we can get:
| X | = | 16430028 14245 |
Convert the result to decimal form :
| X | = | 1153.389119 |