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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-X/1000 = .004605（X+1100） .
Question type: Equation
Solution:Original question:
| 1000 | ÷ | 135 | − | X | ÷ | 1000 | = | 921 200000 | ( | X | + | 1100 | ) |
| Left side of the equation = | 200 27 | − | X | × | 1 1000 |
200 27 | − | 1 1000 | X | = | 921 200000 | ( | X | + | 1100 | ) |
| Right side of the equation = | 921 200000 | X | + | 921 200000 | × | 1100 |
| = | 921 200000 | X | + | 10131 2000 |
200 27 | − | 1 1000 | X | = | 921 200000 | X | + | 10131 2000 |
Transposition :
| - | 1 1000 | X | − | 921 200000 | X | = | 10131 2000 | − | 200 27 |
Combine the items on the left of the equation:
| - | 1121 200000 | X | = | 10131 2000 | − | 200 27 |
Combine the items on the right of the equation:
| - | 1121 200000 | X | = | - | 126463 54000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
126463 54000 | = | 1121 200000 | 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 :
1121 200000 | X | = | 126463 54000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 126463 54000 | ÷ | 1121 200000 |
| = | 126463 54000 | × | 200000 1121 |
| = | 126463 27 | × | 100 1121 |
We obtained :
| X | = | 12646300 30267 |
Convert the result to decimal form :
| X | = | 417.824694 |