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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+85533.33-20000)*0.1-2520-4533.33] = 27000 .
Question type: Equation
Solution:Original question:
| x | − | ( | ( | x | + | 8553333 100 | − | 20000 | ) | × | 1 10 | − | 2520 | − | 453333 100 | ) | = | 27000 |
| Left side of the equation = | x | − | ( | x | + | 8553333 100 | − | 20000 | ) | × | 1 10 | + | 2520 | + | 453333 100 |
| = | x | − | ( | x | + | 8553333 100 | − | 20000 | ) | × | 1 10 | + | 705333 100 |
| = | x | − | x | × | 1 10 | − | 8553333 100 | × | 1 10 | + | 20000 | × | 1 10 | + | 705333 100 |
| = | x | − | x | × | 1 10 | − | 8553333 1000 | + | 2000 | + | 705333 100 |
| = | 9 10 | x | + | 499997 1000 |
9 10 | x | + | 499997 1000 | = | 27000 |
Transposition :
9 10 | x | = | 27000 | − | 499997 1000 |
Combine the items on the right of the equation:
9 10 | x | = | 26500003 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 26500003 1000 | ÷ | 9 10 |
| = | 26500003 1000 | × | 10 9 |
| = | 26500003 100 | × | 1 9 |
We obtained :
| x | = | 26500003 900 |
Convert the result to decimal form :
| x | = | 29444.447778 |