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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)*0.1-2520-9422.22] = 27000 .
Question type: Equation
Solution:Original question:
| x | − | ( | ( | x | + | 7221111 50 | − | 30000 | ) | × | 1 10 | − | 2520 | − | 471111 50 | ) | = | 27000 |
| Left side of the equation = | x | − | ( | x | + | 7221111 50 | − | 30000 | ) | × | 1 10 | + | 2520 | + | 471111 50 |
| = | x | − | ( | x | + | 7221111 50 | − | 30000 | ) | × | 1 10 | + | 597111 50 |
| = | x | − | x | × | 1 10 | − | 7221111 50 | × | 1 10 | + | 30000 | × | 1 10 | + | 597111 50 |
| = | x | − | x | × | 1 10 | − | 7221111 500 | + | 3000 | + | 597111 50 |
| = | 9 10 | x | + | 249999 500 |
9 10 | x | + | 249999 500 | = | 27000 |
Transposition :
9 10 | x | = | 27000 | − | 249999 500 |
Combine the items on the right of the equation:
9 10 | x | = | 13250001 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 13250001 500 | ÷ | 9 10 |
| = | 13250001 500 | × | 10 9 |
| = | 4416667 50 | × | 1 3 |
We obtained :
| x | = | 4416667 150 |
Convert the result to decimal form :
| x | = | 29444.446667 |