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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 80.14-x = 10.3/100*（x-51.6） .
Question type: Equation
Solution:Original question:
4007 50 | − | x | = | 103 10 | ÷ | 100 | × | ( | x | − | 258 5 | ) |
| Right side of the equation = | 103 1000 | ( | x | − | 258 5 | ) |
4007 50 | − | x | = | 103 1000 | ( | x | − | 258 5 | ) |
| Right side of the equation = | 103 1000 | x | − | 103 1000 | × | 258 5 |
| = | 103 1000 | x | − | 13287 2500 |
4007 50 | − | x | = | 103 1000 | x | − | 13287 2500 |
Transposition :
| - | x | − | 103 1000 | x | = | - | 13287 2500 | − | 4007 50 |
Combine the items on the left of the equation:
| - | 1103 1000 | x | = | - | 13287 2500 | − | 4007 50 |
Combine the items on the right of the equation:
| - | 1103 1000 | x | = | - | 213637 2500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
213637 2500 | = | 1103 1000 | 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 :
1103 1000 | x | = | 213637 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 213637 2500 | ÷ | 1103 1000 |
| = | 213637 2500 | × | 1000 1103 |
| = | 213637 5 | × | 2 1103 |
We obtained :
| x | = | 427274 5515 |
Convert the result to decimal form :
| x | = | 77.474887 |