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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+56088.89-15000)*0.1-2520-1408.48] = 27000 .
Question type: Equation
Solution:Original question:
| x | − | ( | ( | x | + | 5608889 100 | − | 15000 | ) | × | 1 10 | − | 2520 | − | 35212 25 | ) | = | 27000 |
| Left side of the equation = | x | − | ( | x | + | 5608889 100 | − | 15000 | ) | × | 1 10 | + | 2520 | + | 35212 25 |
| = | x | − | ( | x | + | 5608889 100 | − | 15000 | ) | × | 1 10 | + | 98212 25 |
| = | x | − | x | × | 1 10 | − | 5608889 100 | × | 1 10 | + | 15000 | × | 1 10 | + | 98212 25 |
| = | x | − | x | × | 1 10 | − | 5608889 1000 | + | 1500 | + | 98212 25 |
| = | 9 10 | x | − | 180409 1000 |
9 10 | x | − | 180409 1000 | = | 27000 |
Transposition :
9 10 | x | = | 27000 | + | 180409 1000 |
Combine the items on the right of the equation:
9 10 | x | = | 27180409 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 27180409 1000 | ÷ | 9 10 |
| = | 27180409 1000 | × | 10 9 |
| = | 27180409 100 | × | 1 9 |
We obtained :
| x | = | 27180409 900 |
Convert the result to decimal form :
| x | = | 30200.454444 |