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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 = 0.0027(82.5+X) .
Question type: Equation
Solution:Original question:
| X | ÷ | 112 | − | 9 2 | ÷ | 45 | − | 13 | ÷ | 447 10 | − | 65 | ÷ | 500 | = | 27 10000 | ( | 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 | = | 27 10000 | ( | 165 2 | + | X | ) |
| Right side of the equation = | 27 10000 | × | 165 2 | + | 27 10000 | X |
| = | 891 4000 | + | 27 10000 | X |
1 112 | X | − | 23281 44700 | = | 891 4000 | + | 27 10000 | X |
Transposition :
1 112 | X | − | 27 10000 | X | = | 891 4000 | + | 23281 44700 |
Combine the items on the left of the equation:
109 17500 | X | = | 891 4000 | + | 23281 44700 |
Combine the items on the right of the equation:
109 17500 | X | = | 1329517 1788000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 1329517 1788000 | ÷ | 109 17500 |
| = | 1329517 1788000 | × | 17500 109 |
| = | 1329517 3576 | × | 35 109 |
We obtained :
| X | = | 46533095 389784 |
Convert the result to decimal form :
| X | = | 119.381747 |