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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)*0.1-2520-2088.89] = 27000 .
Question type: Equation
Solution:Original question:
| x | − | ( | ( | x | + | 5608889 100 | − | 15000 | ) | × | 1 10 | − | 2520 | − | 208889 100 | ) | = | 27000 |
| Left side of the equation = | x | − | ( | x | + | 5608889 100 | − | 15000 | ) | × | 1 10 | + | 2520 | + | 208889 100 |
| = | x | − | ( | x | + | 5608889 100 | − | 15000 | ) | × | 1 10 | + | 460889 100 |
| = | x | − | x | × | 1 10 | − | 5608889 100 | × | 1 10 | + | 15000 | × | 1 10 | + | 460889 100 |
| = | x | − | x | × | 1 10 | − | 5608889 1000 | + | 1500 | + | 460889 100 |
| = | 9 10 | x | + | 500001 1000 |
9 10 | x | + | 500001 1000 | = | 27000 |
Transposition :
9 10 | x | = | 27000 | − | 500001 1000 |
Combine the items on the right of the equation:
9 10 | x | = | 26499999 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 26499999 1000 | ÷ | 9 10 |
| = | 26499999 1000 | × | 10 9 |
| = | 8833333 100 | × | 1 3 |
We obtained :
| x | = | 8833333 300 |
Convert the result to decimal form :
| x | = | 29444.443333 |