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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 2800/126-X/1000 = 0.00381（2800+X） .
Question type: Equation
Solution:Original question:
| 2800 | ÷ | 126 | − | X | ÷ | 1000 | = | 381 100000 | ( | 2800 | + | X | ) |
| Left side of the equation = | 200 9 | − | X | × | 1 1000 |
200 9 | − | 1 1000 | X | = | 381 100000 | ( | 2800 | + | X | ) |
| Right side of the equation = | 381 100000 | × | 2800 | + | 381 100000 | X |
| = | 2667 250 | + | 381 100000 | X |
200 9 | − | 1 1000 | X | = | 2667 250 | + | 381 100000 | X |
Transposition :
| - | 1 1000 | X | − | 381 100000 | X | = | 2667 250 | − | 200 9 |
Combine the items on the left of the equation:
| - | 481 100000 | X | = | 2667 250 | − | 200 9 |
Combine the items on the right of the equation:
| - | 481 100000 | X | = | - | 25997 2250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
25997 2250 | = | 481 100000 | 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 :
481 100000 | X | = | 25997 2250 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 25997 2250 | ÷ | 481 100000 |
| = | 25997 2250 | × | 100000 481 |
| = | 25997 9 | × | 400 481 |
We obtained :
| X | = | 10398800 4329 |
Convert the result to decimal form :
| X | = | 2402.125202 |