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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 1000/135-1 = 0.00346（1500+X） .
Question type: Equation
Solution:Original question:
| 1000 | ÷ | 135 | − | 1 | = | 173 50000 | ( | 1500 | + | X | ) |
| Left side of the equation = | 200 27 | − | 1 |
| = | 173 27 |
173 27 | = | 173 50000 | ( | 1500 | + | X | ) |
| Right side of the equation = | 173 50000 | × | 1500 | + | 173 50000 | X |
| = | 519 100 | + | 173 50000 | X |
173 27 | = | 519 100 | + | 173 50000 | X |
Transposition :
| - | 173 50000 | X | = | 519 100 | − | 173 27 |
Combine the items on the right of the equation:
| - | 173 50000 | X | = | - | 3287 2700 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
3287 2700 | = | 173 50000 | 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 :
173 50000 | X | = | 3287 2700 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 3287 2700 | ÷ | 173 50000 |
| = | 3287 2700 | × | 50000 173 |
| = | 3287 27 | × | 500 173 |
We obtained :
| X | = | 1643500 4671 |
Convert the result to decimal form :
| X | = | 351.851852 |