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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)*0.1-2520-6977.78] = 27000 .
Question type: Equation
Solution:Original question:
| x | − | ( | ( | x | + | 5748889 50 | − | 25000 | ) | × | 1 10 | − | 2520 | − | 348889 50 | ) | = | 27000 |
| Left side of the equation = | x | − | ( | x | + | 5748889 50 | − | 25000 | ) | × | 1 10 | + | 2520 | + | 348889 50 |
| = | x | − | ( | x | + | 5748889 50 | − | 25000 | ) | × | 1 10 | + | 474889 50 |
| = | x | − | x | × | 1 10 | − | 5748889 50 | × | 1 10 | + | 25000 | × | 1 10 | + | 474889 50 |
| = | x | − | x | × | 1 10 | − | 5748889 500 | + | 2500 | + | 474889 50 |
| = | 9 10 | x | + | 250001 500 |
9 10 | x | + | 250001 500 | = | 27000 |
Transposition :
9 10 | x | = | 27000 | − | 250001 500 |
Combine the items on the right of the equation:
9 10 | x | = | 13249999 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 13249999 500 | ÷ | 9 10 |
| = | 13249999 500 | × | 10 9 |
| = | 13249999 50 | × | 1 9 |
We obtained :
| x | = | 13249999 450 |
Convert the result to decimal form :
| x | = | 29444.442222 |