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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 (25-m)*18*92/[92(25-m)+18m] = 14.98 .
Question type: Equation
Solution:Original question:
| ( | 25 | − | m | ) | × | 18 | × | 92 | ÷ | ( | 92 | ( | 25 | − | m | ) | + | 18 | m | ) | = | 749 50 |
| Multiply both sides of the equation by: | ( | 92 | ( | 25 | − | m | ) | + | 18 | m | ) |
| ( | 25 | − | m | ) | × | 18 | × | 92 | = | 749 50 | ( | 92 | ( | 25 | − | m | ) | + | 18 | m | ) |
| 25 | × | 18 | × | 92 | − | m | × | 18 | × | 92 | = | 749 50 | ( | 92 | ( | 25 | − | m | ) | + | 18 | m | ) |
| 25 | × | 18 | × | 92 | − | m | × | 18 | × | 92 | = | 749 50 | × | 92 | ( | 25 | − | m | ) | + | 749 50 | × | 18 | m |
| 41400 | − | m | × | 1656 | = | 34454 25 | ( | 25 | − | m | ) | + | 6741 25 | m |
| 41400 | − | 1656 | m | = | 34454 25 | × | 25 | − | 34454 25 | m | + | 6741 25 | m |
| 41400 | − | 1656 | m | = | 34454 | − | 34454 25 | m | + | 6741 25 | m |
| 41400 | − | 1656 | m | = | 34454 | − | 27713 25 | m |
Transposition :
| - | 1656 | m | + | 27713 25 | m | = | 34454 | − | 41400 |
Combine the items on the left of the equation:
| - | 13687 25 | m | = | 34454 | − | 41400 |
Combine the items on the right of the equation:
| - | 13687 25 | m | = | - | 6946 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 6946 | = | 13687 25 | m |
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 :
13687 25 | m | = | 6946 |
The coefficient of the unknown number is reduced to 1 :
| m | = | 6946 | ÷ | 13687 25 |
| = | 6946 | × | 25 13687 |
We obtained :
| m | = | 173650 13687 |
Convert the result to decimal form :
| m | = | 12.687221 |