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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-[(x+114977.78-25000)*0.1-2520-4533.33] = 27000 .
Question type: Equation
Solution:Original question:
| x | − | ( | ( | x | + | 5748889 50 | − | 25000 | ) | × | 1 10 | − | 2520 | − | 453333 100 | ) | = | 27000 |
| Left side of the equation = | x | − | ( | x | + | 5748889 50 | − | 25000 | ) | × | 1 10 | + | 2520 | + | 453333 100 |
| = | x | − | ( | x | + | 5748889 50 | − | 25000 | ) | × | 1 10 | + | 705333 100 |
| = | x | − | x | × | 1 10 | − | 5748889 50 | × | 1 10 | + | 25000 | × | 1 10 | + | 705333 100 |
| = | x | − | x | × | 1 10 | − | 5748889 500 | + | 2500 | + | 705333 100 |
| = | 9 10 | x | − | 243056 125 |
9 10 | x | − | 243056 125 | = | 27000 |
Transposition :
9 10 | x | = | 27000 | + | 243056 125 |
Combine the items on the right of the equation:
9 10 | x | = | 3618056 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3618056 125 | ÷ | 9 10 |
| = | 3618056 125 | × | 10 9 |
| = | 3618056 25 | × | 2 9 |
We obtained :
| x | = | 7236112 225 |
Convert the result to decimal form :
| x | = | 32160.497778 |