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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 （38.584-x）×2.65 = 38.584-x+68.968 .
Question type: Equation
Solution:Original question:
| ( | 4823 125 | − | x | ) | × | 53 20 | = | 4823 125 | − | x | + | 8621 125 |
| Left side of the equation = | 4823 125 | × | 53 20 | − | x | × | 53 20 |
| = | 255619 2500 | − | x | × | 53 20 |
255619 2500 | − | 53 20 | x | = | 4823 125 | − | x | + | 8621 125 |
| Right side of the equation = | 13444 125 | − | x |
255619 2500 | − | 53 20 | x | = | 13444 125 | − | x |
Transposition :
| - | 53 20 | x | + | x | = | 13444 125 | − | 255619 2500 |
Combine the items on the left of the equation:
| - | 33 20 | x | = | 13444 125 | − | 255619 2500 |
Combine the items on the right of the equation:
| - | 33 20 | x | = | 13261 2500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 13261 2500 | = | 33 20 | 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 :
33 20 | x | = | - | 13261 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 13261 2500 | ÷ | 33 20 |
| = | - | 13261 2500 | × | 20 33 |
| = | - | 13261 125 | × | 1 33 |
We obtained :
| x | = | - | 13261 4125 |
Convert the result to decimal form :
| x | = | - 3.214788 |