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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
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Work: Find the solution of equation （x-25+10）×0.6/（（x-25+10）×0.6+（180-x+15）×1.3） = 24.6% .
Question type: Equation
Solution:Original question:
| ( | x | − | 25 | + | 10 | ) | × | 3 5 | ÷ | ( | ( | x | − | 25 | + | 10 | ) | × | 3 5 | + | ( | 180 | − | x | + | 15 | ) | × | 13 10 | ) | = | 123 500 |
| Multiply both sides of the equation by: | ( | ( | x | − | 25 | + | 10 | ) | × | 3 5 | + | ( | 180 | − | x | + | 15 | ) | × | 13 10 | ) |
| ( | x | − | 25 | + | 10 | ) | × | 3 5 | = | 123 500 | ( | ( | x | − | 25 | + | 10 | ) | × | 3 5 | + | ( | 180 | − | x | + | 15 | ) | × | 13 10 | ) |
| x | × | 3 5 | − | 25 | × | 3 5 | + | 10 | × | 3 5 | = | 123 500 | ( | ( | x | − | 25 | + | 10 | ) | × | 3 5 | + | ( | 180 | − | x | + | 15 | ) | × | 13 10 | ) |
| x | × | 3 5 | − | 25 | × | 3 5 | + | 10 | × | 3 5 | = | 123 500 | ( | x | − | 25 | + | 10 | ) | × | 3 5 | + | 123 500 | ( | 180 | − | x | + | 15 | ) | × | 13 10 |
| x | × | 3 5 | − | 15 | + | 6 | = | 369 2500 | ( | x | − | 25 | + | 10 | ) | + | 1599 5000 | ( | 180 | − | x | + | 15 | ) |
3 5 | x | − | 9 | = | 369 2500 | ( | x | − | 25 | + | 10 | ) | + | 1599 5000 | ( | 180 | − | x | + | 15 | ) |
3 5 | x | − | 9 | = | 369 2500 | x | − | 369 2500 | × | 25 | + | 369 2500 | × | 10 | + | 1599 5000 | ( | 180 | − | x | + | 15 | ) |
3 5 | x | − | 9 | = | 369 2500 | x | − | 369 100 | + | 369 250 | + | 1599 5000 | ( | 180 | − | x | + | 15 | ) |
3 5 | x | − | 9 | = | 369 2500 | x | − | 1107 500 | + | 1599 5000 | ( | 180 | − | x | + | 15 | ) |
3 5 | x | − | 9 | = | 369 2500 | x | − | 1107 500 | + | 1599 5000 | × | 180 | − | 1599 5000 | x | + | 1599 5000 | × | 15 |
3 5 | x | − | 9 | = | 369 2500 | x | − | 1107 500 | + | 14391 250 | − | 1599 5000 | x | + | 4797 1000 |
3 5 | x | − | 9 | = | - | 861 5000 | x | + | 60147 1000 |
Transposition :
3 5 | x | + | 861 5000 | x | = | 60147 1000 | + | 9 |
Combine the items on the left of the equation:
3861 5000 | x | = | 60147 1000 | + | 9 |
Combine the items on the right of the equation:
3861 5000 | x | = | 69147 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 69147 1000 | ÷ | 3861 5000 |
| = | 69147 1000 | × | 5000 3861 |
| = | 2561 | × | 5 143 |
We obtained :
| x | = | 12805 143 |
By reducing fraction, we can get:
| x | = | 985 11 |
Convert the result to decimal form :
| x | = | 89.545455 |