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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)*0.1-2520-1408.48] = 27000 .
Question type: Equation
Solution:Original question:
| x | − | ( | ( | x | + | 4608889 100 | − | 15000 | ) | × | 1 10 | − | 2520 | − | 35212 25 | ) | = | 27000 |
| Left side of the equation = | x | − | ( | x | + | 4608889 100 | − | 15000 | ) | × | 1 10 | + | 2520 | + | 35212 25 |
| = | x | − | ( | x | + | 4608889 100 | − | 15000 | ) | × | 1 10 | + | 98212 25 |
| = | x | − | x | × | 1 10 | − | 4608889 100 | × | 1 10 | + | 15000 | × | 1 10 | + | 98212 25 |
| = | x | − | x | × | 1 10 | − | 4608889 1000 | + | 1500 | + | 98212 25 |
| = | 9 10 | x | + | 819591 1000 |
9 10 | x | + | 819591 1000 | = | 27000 |
Transposition :
9 10 | x | = | 27000 | − | 819591 1000 |
Combine the items on the right of the equation:
9 10 | x | = | 26180409 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 26180409 1000 | ÷ | 9 10 |
| = | 26180409 1000 | × | 10 9 |
| = | 8726803 100 | × | 1 3 |
We obtained :
| x | = | 8726803 300 |
Convert the result to decimal form :
| x | = | 29089.343333 |