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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 （12812*0.0398-X）/（12812+（12812*0.398）-X） = 0.1 .
Question type: Equation
Solution:Original question:
| ( | 12812 | × | 199 5000 | − | X | ) | ÷ | ( | 12812 | + | ( | 12812 | × | 199 500 | ) | − | X | ) | = | 1 10 |
| Multiply both sides of the equation by: | ( | 12812 | + | ( | 12812 | × | 199 500 | ) | − | X | ) |
| ( | 12812 | × | 199 5000 | − | X | ) | = | 1 10 | ( | 12812 | + | ( | 12812 | × | 199 500 | ) | − | X | ) |
| 12812 | × | 199 5000 | − | X | = | 1 10 | ( | 12812 | + | ( | 12812 | × | 199 500 | ) | − | X | ) |
| 12812 | × | 199 5000 | − | X | = | 1 10 | × | 12812 | + | 1 10 | ( | 12812 | × | 199 500 | ) | − | 1 10 | X |
637397 1250 | − | X | = | 6406 5 | + | 1 10 | ( | 12812 | × | 199 500 | ) | − | 1 10 | X |
637397 1250 | − | X | = | 6406 5 | + | 1 10 | × | 12812 | × | 199 500 | − | 1 10 | X |
637397 1250 | − | X | = | 6406 5 | + | 637397 1250 | − | 1 10 | X |
637397 1250 | − | X | = | 2238897 1250 | − | 1 10 | X |
Transposition :
| - | X | + | 1 10 | X | = | 2238897 1250 | − | 637397 1250 |
Combine the items on the left of the equation:
| - | 9 10 | X | = | 2238897 1250 | − | 637397 1250 |
Combine the items on the right of the equation:
| - | 9 10 | X | = | 6406 5 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 6406 5 | = | 9 10 | 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 :
9 10 | X | = | - | 6406 5 |
The coefficient of the unknown number is reduced to 1 :
| X | = | - | 6406 5 | ÷ | 9 10 |
| = | - | 6406 5 | × | 10 9 |
| = | - | 6406 | × | 2 9 |
We obtained :
| X | = | - | 12812 9 |
Convert the result to decimal form :
| X | = | - 1423.555556 |