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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/112-4.5/45-13/44.7-65/500 = 0.00211(82.5+X) .
Question type: Equation
Solution:Original question:
| X | ÷ | 112 | − | 9 2 | ÷ | 45 | − | 13 | ÷ | 447 10 | − | 65 | ÷ | 500 | = | 211 100000 | ( | 165 2 | + | X | ) |
| Left side of the equation = | X | × | 1 112 | − | 1 10 | − | 130 447 | − | 13 100 |
| = | 1 112 | X | − | 23281 44700 |
1 112 | X | − | 23281 44700 | = | 211 100000 | ( | 165 2 | + | X | ) |
| Right side of the equation = | 211 100000 | × | 165 2 | + | 211 100000 | X |
| = | 6963 40000 | + | 211 100000 | X |
1 112 | X | − | 23281 44700 | = | 6963 40000 | + | 211 100000 | X |
Transposition :
1 112 | X | − | 211 100000 | X | = | 6963 40000 | + | 23281 44700 |
Combine the items on the left of the equation:
4773 700000 | X | = | 6963 40000 | + | 23281 44700 |
Combine the items on the right of the equation:
4773 700000 | X | = | 12424861 17880000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 12424861 17880000 | ÷ | 4773 700000 |
| = | 12424861 17880000 | × | 700000 4773 |
| = | 12424861 894 | × | 35 4773 |
We obtained :
| X | = | 434870135 4267062 |
Convert the result to decimal form :
| X | = | 101.913245 |