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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-25+10）*0.6/（（x-25+10）*0.6+（180-x+15）*1.3) = 32.6% .
Question type: Equation
Solution:Original question:
| ( | x | − | 25 | + | 10 | ) | × | 3 5 | ÷ | ( | ( | x | − | 25 | + | 10 | ) | × | 3 5 | + | ( | 180 | − | x | + | 15 | ) | × | 13 10 | ) | = | 163 500 |
| Multiply both sides of the equation by: | ( | ( | x | − | 25 | + | 10 | ) | × | 3 5 | + | ( | 180 | − | x | + | 15 | ) | × | 13 10 | ) |
| ( | x | − | 25 | + | 10 | ) | × | 3 5 | = | 163 500 | ( | ( | x | − | 25 | + | 10 | ) | × | 3 5 | + | ( | 180 | − | x | + | 15 | ) | × | 13 10 | ) |
| x | × | 3 5 | − | 25 | × | 3 5 | + | 10 | × | 3 5 | = | 163 500 | ( | ( | x | − | 25 | + | 10 | ) | × | 3 5 | + | ( | 180 | − | x | + | 15 | ) | × | 13 10 | ) |
| x | × | 3 5 | − | 25 | × | 3 5 | + | 10 | × | 3 5 | = | 163 500 | ( | x | − | 25 | + | 10 | ) | × | 3 5 | + | 163 500 | ( | 180 | − | x | + | 15 | ) | × | 13 10 |
| x | × | 3 5 | − | 15 | + | 6 | = | 489 2500 | ( | x | − | 25 | + | 10 | ) | + | 2119 5000 | ( | 180 | − | x | + | 15 | ) |
3 5 | x | − | 9 | = | 489 2500 | ( | x | − | 25 | + | 10 | ) | + | 2119 5000 | ( | 180 | − | x | + | 15 | ) |
3 5 | x | − | 9 | = | 489 2500 | x | − | 489 2500 | × | 25 | + | 489 2500 | × | 10 | + | 2119 5000 | ( | 180 | − | x | + | 15 | ) |
3 5 | x | − | 9 | = | 489 2500 | x | − | 489 100 | + | 489 250 | + | 2119 5000 | ( | 180 | − | x | + | 15 | ) |
3 5 | x | − | 9 | = | 489 2500 | x | − | 1467 500 | + | 2119 5000 | ( | 180 | − | x | + | 15 | ) |
3 5 | x | − | 9 | = | 489 2500 | x | − | 1467 500 | + | 2119 5000 | × | 180 | − | 2119 5000 | x | + | 2119 5000 | × | 15 |
3 5 | x | − | 9 | = | 489 2500 | x | − | 1467 500 | + | 19071 250 | − | 2119 5000 | x | + | 6357 1000 |
3 5 | x | − | 9 | = | - | 1141 5000 | x | + | 79707 1000 |
Transposition :
3 5 | x | + | 1141 5000 | x | = | 79707 1000 | + | 9 |
Combine the items on the left of the equation:
4141 5000 | x | = | 79707 1000 | + | 9 |
Combine the items on the right of the equation:
4141 5000 | x | = | 88707 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 88707 1000 | ÷ | 4141 5000 |
| = | 88707 1000 | × | 5000 4141 |
| = | 88707 | × | 5 4141 |
We obtained :
| x | = | 443535 4141 |
Convert the result to decimal form :
| x | = | 107.108186 |