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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-0.265）*41 = (0.567-x)*67 .
Question type: Equation
Solution:Original question:
| ( | x | − | 53 200 | ) | × | 41 | = | ( | 567 1000 | − | x | ) | × | 67 |
| Left side of the equation = | x | × | 41 | − | 53 200 | × | 41 |
| = | x | × | 41 | − | 2173 200 |
| 41 | x | − | 2173 200 | = | ( | 567 1000 | − | x | ) | × | 67 |
| Right side of the equation = | 567 1000 | × | 67 | − | x | × | 67 |
| = | 37989 1000 | − | x | × | 67 |
| 41 | x | − | 2173 200 | = | 37989 1000 | − | 67 | x |
Transposition :
| 41 | x | + | 67 | x | = | 37989 1000 | + | 2173 200 |
Combine the items on the left of the equation:
| 108 | x | = | 37989 1000 | + | 2173 200 |
Combine the items on the right of the equation:
| 108 | x | = | 24427 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 24427 500 | ÷ | 108 |
| = | 24427 500 | × | 1 108 |
We obtained :
| x | = | 24427 54000 |
Convert the result to decimal form :
| x | = | 0.452352 |