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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 (54-2x)/1.285+40 = 50+x .
Question type: Equation
Solution:Original question:
| ( | 54 | − | 2 | x | ) | ÷ | 257 200 | + | 40 | = | 50 | + | x |
| Left side of the equation = | 54 | × | 200 257 | − | 2 | x | × | 200 257 | + | 40 |
| = | 10800 257 | − | 400 257 | x | + | 40 |
| = | 21080 257 | − | 400 257 | x |
21080 257 | − | 400 257 | x | = | 50 | + | x |
Transposition :
| - | 400 257 | x | − | x | = | 50 | − | 21080 257 |
Combine the items on the left of the equation:
| - | 657 257 | x | = | 50 | − | 21080 257 |
Combine the items on the right of the equation:
| - | 657 257 | x | = | - | 8230 257 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
8230 257 | = | 657 257 | 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 :
657 257 | x | = | 8230 257 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 8230 257 | ÷ | 657 257 |
| = | 8230 257 | × | 257 657 |
We obtained :
| x | = | 2115110 168849 |
By reducing fraction, we can get:
| x | = | 8230 657 |
Convert the result to decimal form :
| x | = | 12.526636 |