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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+60-277.8)÷(277.8+60) = (x+60-285.3)/285.3 .
Question type: Equation
Solution:Original question:
| ( | x | + | 60 | − | 1389 5 | ) | ÷ | ( | 1389 5 | + | 60 | ) | = | ( | x | + | 60 | − | 2853 10 | ) | ÷ | 2853 10 |
| Multiply both sides of the equation by: | ( | 1389 5 | + | 60 | ) |
| ( | x | + | 60 | − | 1389 5 | ) | = | ( | x | + | 60 | − | 2853 10 | ) | ÷ | 2853 10 | × | ( | 1389 5 | + | 60 | ) |
| x | + | 60 | − | 1389 5 | = | ( | x | + | 60 | − | 2853 10 | ) | ÷ | 2853 10 | × | ( | 1389 5 | + | 60 | ) |
| x | + | 60 | − | 1389 5 | = | x | ÷ | 2853 10 | × | ( | 1389 5 | + | 60 | ) | + | 60 | ÷ | 2853 10 | × | ( | 1389 5 | + | 60 | ) | − | 2853 10 | ÷ | 2853 10 | × | ( | 1389 5 | + | 60 | ) |
| x | + | 60 | − | 1389 5 | = | x | × | 10 2853 | ( | 1389 5 | + | 60 | ) | + | 200 951 | ( | 1389 5 | + | 60 | ) | − | 1 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | x | × | 10 2853 | ( | 1389 5 | + | 60 | ) | + | 200 951 | ( | 1389 5 | + | 60 | ) | − | 1 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | x | × | 10 2853 | × | 1389 5 | + | x | × | 10 2853 | × | 60 | + | 200 951 | ( | 1389 5 | + | 60 | ) | − | 1 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | x | × | 926 951 | + | x | × | 200 951 | + | 200 951 | ( | 1389 5 | + | 60 | ) | − | 1 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | 1126 951 | x | + | 200 951 | ( | 1389 5 | + | 60 | ) | − | 1 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | 1126 951 | x | + | 200 951 | × | 1389 5 | + | 200 951 | × | 60 | − | 1 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | 1126 951 | x | + | 18520 317 | + | 4000 317 | − | 1 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | 1126 951 | x | + | 22520 317 | − | 1 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | 1126 951 | x | + | 22520 317 | − | 1 | × | 1389 5 | − | 1 | × | 60 |
| x | − | 1089 5 | = | 1126 951 | x | + | 22520 317 | − | 1389 5 | − | 60 |
| x | − | 1089 5 | = | 1126 951 | x | − | 422813 1585 |
Transposition :
| x | − | 1126 951 | x | = | - | 422813 1585 | + | 1089 5 |
Combine the items on the left of the equation:
| - | 175 951 | x | = | - | 422813 1585 | + | 1089 5 |
Combine the items on the right of the equation:
| - | 175 951 | x | = | - | 15520 317 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
15520 317 | = | 175 951 | 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 :
175 951 | x | = | 15520 317 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 15520 317 | ÷ | 175 951 |
| = | 15520 317 | × | 951 175 |
| = | 3104 317 | × | 951 35 |
We obtained :
| x | = | 2951904 11095 |
Convert the result to decimal form :
| x | = | 266.057143 |