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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 10/89.14+X/127.5+（82.2-X）/200 = 0.6 .
Question type: Equation
Solution:Original question:
| 10 | ÷ | 4457 50 | + | X | ÷ | 255 2 | + | ( | 411 5 | − | X | ) | ÷ | 200 | = | 3 5 |
| Left side of the equation = | 500 4457 | + | X | × | 2 255 | + | ( | 411 5 | − | X | ) | × | 1 200 |
500 4457 | + | 2 255 | X | + | ( | 411 5 | − | X | ) | × | 1 200 | = | 3 5 |
| Left side of the equation = | 500 4457 | + | 2 255 | X | + | 411 5 | × | 1 200 | − | X | × | 1 200 |
| = | 500 4457 | + | 2 255 | X | + | 411 1000 | − | X | × | 1 200 |
| = | 2331827 4457000 | + | 29 10200 | X |
2331827 4457000 | + | 29 10200 | X | = | 3 5 |
Transposition :
29 10200 | X | = | 3 5 | − | 2331827 4457000 |
Combine the items on the right of the equation:
29 10200 | X | = | 342373 4457000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 342373 4457000 | ÷ | 29 10200 |
| = | 342373 4457000 | × | 10200 29 |
| = | 342373 22285 | × | 51 29 |
We obtained :
| X | = | 17461023 646265 |
Convert the result to decimal form :
| X | = | 27.018364 |