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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 | ) | + | 123 500 | ( | 180 | − | x | + | 15 | × | 13 10 | ) |
3 5 | x | − | 9 | = | 369 2500 | ( | x | − | 25 | + | 10 | ) | + | 123 500 | ( | 180 | − | x | + | 15 | × | 13 10 | ) |
3 5 | x | − | 9 | = | 369 2500 | x | − | 369 2500 | × | 25 | + | 369 2500 | × | 10 | + | 123 500 | ( | 180 | − | x | + | 15 | × | 13 10 | ) |
3 5 | x | − | 9 | = | 369 2500 | x | − | 369 100 | + | 369 250 | + | 123 500 | ( | 180 | − | x | + | 15 | × | 13 10 | ) |
3 5 | x | − | 9 | = | 369 2500 | x | − | 1107 500 | + | 123 500 | ( | 180 | − | x | + | 15 | × | 13 10 | ) |
3 5 | x | − | 9 | = | 369 2500 | x | − | 1107 500 | + | 123 500 | × | 180 | − | 123 500 | x | + | 123 500 | × | 15 | × | 13 10 |
3 5 | x | − | 9 | = | 369 2500 | x | − | 1107 500 | + | 1107 25 | − | 123 500 | x | + | 4797 1000 |
3 5 | x | − | 9 | = | - | 123 1250 | x | + | 46863 1000 |
Transposition :
3 5 | x | + | 123 1250 | x | = | 46863 1000 | + | 9 |
Combine the items on the left of the equation:
873 1250 | x | = | 46863 1000 | + | 9 |
Combine the items on the right of the equation:
873 1250 | x | = | 55863 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 55863 1000 | ÷ | 873 1250 |
| = | 55863 1000 | × | 1250 873 |
| = | 6207 4 | × | 5 97 |
We obtained :
| x | = | 31035 388 |
Convert the result to decimal form :
| x | = | 79.987113 |