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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+60-277.69)÷(277.69+60) = (x+60-285)/285 .
Question type: Equation
Solution:Original question:
| ( | x | + | 60 | − | 27769 100 | ) | ÷ | ( | 27769 100 | + | 60 | ) | = | ( | x | + | 60 | − | 285 | ) | ÷ | 285 |
| Multiply both sides of the equation by: | ( | 27769 100 | + | 60 | ) |
| ( | x | + | 60 | − | 27769 100 | ) | = | ( | x | + | 60 | − | 285 | ) | ÷ | 285 | × | ( | 27769 100 | + | 60 | ) |
| x | + | 60 | − | 27769 100 | = | ( | x | + | 60 | − | 285 | ) | ÷ | 285 | × | ( | 27769 100 | + | 60 | ) |
| x | + | 60 | − | 27769 100 | = | x | ÷ | 285 | × | ( | 27769 100 | + | 60 | ) | + | 60 | ÷ | 285 | × | ( | 27769 100 | + | 60 | ) | − | 285 | ÷ | 285 | × | ( | 27769 100 | + | 60 | ) |
| x | + | 60 | − | 27769 100 | = | x | × | 1 285 | ( | 27769 100 | + | 60 | ) | + | 4 19 | ( | 27769 100 | + | 60 | ) | − | 1 | ( | 27769 100 | + | 60 | ) |
| x | − | 21769 100 | = | x | × | 1 285 | ( | 27769 100 | + | 60 | ) | + | 4 19 | ( | 27769 100 | + | 60 | ) | − | 1 | ( | 27769 100 | + | 60 | ) |
| x | − | 21769 100 | = | x | × | 1 285 | × | 27769 100 | + | x | × | 1 285 | × | 60 | + | 4 19 | ( | 27769 100 | + | 60 | ) | − | 1 | ( | 27769 100 | + | 60 | ) |
| x | − | 21769 100 | = | x | × | 27769 28500 | + | x | × | 4 19 | + | 4 19 | ( | 27769 100 | + | 60 | ) | − | 1 | ( | 27769 100 | + | 60 | ) |
| x | − | 21769 100 | = | 33769 28500 | x | + | 4 19 | ( | 27769 100 | + | 60 | ) | − | 1 | ( | 27769 100 | + | 60 | ) |
| x | − | 21769 100 | = | 33769 28500 | x | + | 4 19 | × | 27769 100 | + | 4 19 | × | 60 | − | 1 | ( | 27769 100 | + | 60 | ) |
| x | − | 21769 100 | = | 33769 28500 | x | + | 27769 475 | + | 240 19 | − | 1 | ( | 27769 100 | + | 60 | ) |
| x | − | 21769 100 | = | 33769 28500 | x | + | 33769 475 | − | 1 | ( | 27769 100 | + | 60 | ) |
| x | − | 21769 100 | = | 33769 28500 | x | + | 33769 475 | − | 1 | × | 27769 100 | − | 1 | × | 60 |
| x | − | 21769 100 | = | 33769 28500 | x | + | 33769 475 | − | 27769 100 | − | 60 |
| x | − | 21769 100 | = | 33769 28500 | x | − | 101307 380 |
Transposition :
| x | − | 33769 28500 | x | = | - | 101307 380 | + | 21769 100 |
Combine the items on the left of the equation:
| - | 5269 28500 | x | = | - | 101307 380 | + | 21769 100 |
Combine the items on the right of the equation:
| - | 5269 28500 | x | = | - | 23231 475 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
23231 475 | = | 5269 28500 | 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 :
5269 28500 | x | = | 23231 475 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 23231 475 | ÷ | 5269 28500 |
| = | 23231 475 | × | 28500 5269 |
| = | 23231 | × | 60 5269 |
We obtained :
| x | = | 1393860 5269 |
Convert the result to decimal form :
| x | = | 264.539761 |