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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+60-285.2)/285.2 .
Question type: Equation
Solution:Original question:
| ( | x | + | 60 | − | 27769 100 | ) | ÷ | ( | 27769 100 | + | 60 | ) | = | ( | x | + | 60 | − | 1426 5 | ) | ÷ | 1426 5 |
| Multiply both sides of the equation by: | ( | 27769 100 | + | 60 | ) |
| ( | x | + | 60 | − | 27769 100 | ) | = | ( | x | + | 60 | − | 1426 5 | ) | ÷ | 1426 5 | × | ( | 27769 100 | + | 60 | ) |
| x | + | 60 | − | 27769 100 | = | ( | x | + | 60 | − | 1426 5 | ) | ÷ | 1426 5 | × | ( | 27769 100 | + | 60 | ) |
| x | + | 60 | − | 27769 100 | = | x | ÷ | 1426 5 | × | ( | 27769 100 | + | 60 | ) | + | 60 | ÷ | 1426 5 | × | ( | 27769 100 | + | 60 | ) | − | 1426 5 | ÷ | 1426 5 | × | ( | 27769 100 | + | 60 | ) |
| x | + | 60 | − | 27769 100 | = | x | × | 5 1426 | ( | 27769 100 | + | 60 | ) | + | 150 713 | ( | 27769 100 | + | 60 | ) | − | 1 | ( | 27769 100 | + | 60 | ) |
| x | − | 21769 100 | = | x | × | 5 1426 | ( | 27769 100 | + | 60 | ) | + | 150 713 | ( | 27769 100 | + | 60 | ) | − | 1 | ( | 27769 100 | + | 60 | ) |
| x | − | 21769 100 | = | x | × | 5 1426 | × | 27769 100 | + | x | × | 5 1426 | × | 60 | + | 150 713 | ( | 27769 100 | + | 60 | ) | − | 1 | ( | 27769 100 | + | 60 | ) |
| x | − | 21769 100 | = | x | × | 27769 28520 | + | x | × | 150 713 | + | 150 713 | ( | 27769 100 | + | 60 | ) | − | 1 | ( | 27769 100 | + | 60 | ) |
| x | − | 21769 100 | = | 33769 28520 | x | + | 150 713 | ( | 27769 100 | + | 60 | ) | − | 1 | ( | 27769 100 | + | 60 | ) |
| x | − | 21769 100 | = | 33769 28520 | x | + | 150 713 | × | 27769 100 | + | 150 713 | × | 60 | − | 1 | ( | 27769 100 | + | 60 | ) |
| x | − | 21769 100 | = | 33769 28520 | x | + | 83307 1426 | + | 9000 713 | − | 1 | ( | 27769 100 | + | 60 | ) |
| x | − | 21769 100 | = | 33769 28520 | x | + | 101307 1426 | − | 1 | ( | 27769 100 | + | 60 | ) |
| x | − | 21769 100 | = | 33769 28520 | x | + | 101307 1426 | − | 1 | × | 27769 100 | − | 1 | × | 60 |
| x | − | 21769 100 | = | 33769 28520 | x | + | 101307 1426 | − | 27769 100 | − | 60 |
| x | − | 21769 100 | = | 33769 28520 | x | − | 19011947 71300 |
Transposition :
| x | − | 33769 28520 | x | = | - | 19011947 71300 | + | 21769 100 |
Combine the items on the left of the equation:
| - | 5249 28520 | x | = | - | 19011947 71300 | + | 21769 100 |
Combine the items on the right of the equation:
| - | 5249 28520 | x | = | - | 69813 1426 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
69813 1426 | = | 5249 28520 | 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 :
5249 28520 | x | = | 69813 1426 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 69813 1426 | ÷ | 5249 28520 |
| = | 69813 1426 | × | 28520 5249 |
| = | 69813 | × | 20 5249 |
We obtained :
| x | = | 1396260 5249 |
Convert the result to decimal form :
| x | = | 266.004953 |