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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+46088.89-15000)*0.1-2520-2088.89] = 27000 .
Question type: Equation
Solution:Original question:
| x | − | ( | ( | x | + | 4608889 100 | − | 15000 | ) | × | 1 10 | − | 2520 | − | 208889 100 | ) | = | 27000 |
| Left side of the equation = | x | − | ( | x | + | 4608889 100 | − | 15000 | ) | × | 1 10 | + | 2520 | + | 208889 100 |
| = | x | − | ( | x | + | 4608889 100 | − | 15000 | ) | × | 1 10 | + | 460889 100 |
| = | x | − | x | × | 1 10 | − | 4608889 100 | × | 1 10 | + | 15000 | × | 1 10 | + | 460889 100 |
| = | x | − | x | × | 1 10 | − | 4608889 1000 | + | 1500 | + | 460889 100 |
| = | 9 10 | x | + | 1500001 1000 |
9 10 | x | + | 1500001 1000 | = | 27000 |
Transposition :
9 10 | x | = | 27000 | − | 1500001 1000 |
Combine the items on the right of the equation:
9 10 | x | = | 25499999 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 25499999 1000 | ÷ | 9 10 |
| = | 25499999 1000 | × | 10 9 |
| = | 25499999 100 | × | 1 9 |
We obtained :
| x | = | 25499999 900 |
Convert the result to decimal form :
| x | = | 28333.332222 |