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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 0.01X+0.3*(165832.34-X)-17682.05 = 0 .
Question type: Equation
Solution:Original question:
1 100 | X | + | 3 10 | ( | 8291617 50 | − | X | ) | − | 353641 20 | = | 0 |
| Left side of the equation = | 1 100 | X | + | 3 10 | × | 8291617 50 | − | 3 10 | X | − | 353641 20 |
| = | 1 100 | X | + | 24874851 500 | − | 3 10 | X | − | 353641 20 |
| = | - | 29 100 | X | + | 8016913 250 |
| - | 29 100 | X | + | 8016913 250 | = | 0 |
Transposition :
| - | 29 100 | X | = | 0 | − | 8016913 250 |
Combine the items on the right of the equation:
| - | 29 100 | X | = | - | 8016913 250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
8016913 250 | = | 29 100 | X |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
29 100 | X | = | 8016913 250 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 8016913 250 | ÷ | 29 100 |
| = | 8016913 250 | × | 100 29 |
| = | 8016913 5 | × | 2 29 |
We obtained :
| X | = | 16033826 145 |
Convert the result to decimal form :
| X | = | 110578.110345 |