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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+144422.22-30000)*0.2-16920-9422.22] = 27000 .
Question type: Equation
Solution:Original question:
| x | − | ( | ( | x | + | 7221111 50 | − | 30000 | ) | × | 1 5 | − | 16920 | − | 471111 50 | ) | = | 27000 |
| Left side of the equation = | x | − | ( | x | + | 7221111 50 | − | 30000 | ) | × | 1 5 | + | 16920 | + | 471111 50 |
| = | x | − | ( | x | + | 7221111 50 | − | 30000 | ) | × | 1 5 | + | 1317111 50 |
| = | x | − | x | × | 1 5 | − | 7221111 50 | × | 1 5 | + | 30000 | × | 1 5 | + | 1317111 50 |
| = | x | − | x | × | 1 5 | − | 7221111 250 | + | 6000 | + | 1317111 50 |
| = | 4 5 | x | + | 432222 125 |
4 5 | x | + | 432222 125 | = | 27000 |
Transposition :
4 5 | x | = | 27000 | − | 432222 125 |
Combine the items on the right of the equation:
4 5 | x | = | 2942778 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2942778 125 | ÷ | 4 5 |
| = | 2942778 125 | × | 5 4 |
| = | 1471389 25 | × | 1 2 |
We obtained :
| x | = | 1471389 50 |
Convert the result to decimal form :
| x | = | 29427.78 |