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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+367751.27-45000)*0.2-16920 = x+42982.77 .
Question type: Equation
Solution:Original question:
| ( | x | + | 36775127 100 | − | 45000 | ) | × | 1 5 | − | 16920 | = | x | + | 4298277 100 |
| Left side of the equation = | x | × | 1 5 | + | 36775127 100 | × | 1 5 | − | 45000 | × | 1 5 | − | 16920 |
| = | x | × | 1 5 | + | 36775127 500 | − | 9000 | − | 16920 |
| = | 1 5 | x | + | 23815127 500 |
1 5 | x | + | 23815127 500 | = | x | + | 4298277 100 |
Transposition :
1 5 | x | − | x | = | 4298277 100 | − | 23815127 500 |
Combine the items on the left of the equation:
| - | 4 5 | x | = | 4298277 100 | − | 23815127 500 |
Combine the items on the right of the equation:
| - | 4 5 | x | = | - | 1161871 250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1161871 250 | = | 4 5 | 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 :
4 5 | x | = | 1161871 250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1161871 250 | ÷ | 4 5 |
| = | 1161871 250 | × | 5 4 |
| = | 1161871 50 | × | 1 4 |
We obtained :
| x | = | 1161871 200 |
Convert the result to decimal form :
| x | = | 5809.355 |