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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 (X-887.41)/(1829.57-X) = -5.6 .
Question type: Equation
Solution:Original question:
| ( | X | − | 88741 100 | ) | ÷ | ( | 182957 100 | − | X | ) | = | - | 28 5 |
| Multiply both sides of the equation by: | ( | 182957 100 | − | X | ) |
| ( | X | − | 88741 100 | ) | = | - | 28 5 | ( | 182957 100 | − | X | ) |
| X | − | 88741 100 | = | - | 28 5 | ( | 182957 100 | − | X | ) |
| X | − | 88741 100 | = | - | 28 5 | × | 182957 100 | + | 28 5 | X |
| X | − | 88741 100 | = | - | 1280699 125 | + | 28 5 | X |
Transposition :
| X | − | 28 5 | X | = | - | 1280699 125 | + | 88741 100 |
Combine the items on the left of the equation:
| - | 23 5 | X | = | - | 1280699 125 | + | 88741 100 |
Combine the items on the right of the equation:
| - | 23 5 | X | = | - | 4679091 500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
4679091 500 | = | 23 5 | 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 :
23 5 | X | = | 4679091 500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 4679091 500 | ÷ | 23 5 |
| = | 4679091 500 | × | 5 23 |
| = | 4679091 100 | × | 1 23 |
We obtained :
| X | = | 4679091 2300 |
Convert the result to decimal form :
| X | = | 2034.387391 |