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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 2400/126-X/1000 = 0.00381（2400+X） .
Question type: Equation
Solution:Original question:
| 2400 | ÷ | 126 | − | X | ÷ | 1000 | = | 381 100000 | ( | 2400 | + | X | ) |
| Left side of the equation = | 400 21 | − | X | × | 1 1000 |
400 21 | − | 1 1000 | X | = | 381 100000 | ( | 2400 | + | X | ) |
| Right side of the equation = | 381 100000 | × | 2400 | + | 381 100000 | X |
| = | 1143 125 | + | 381 100000 | X |
400 21 | − | 1 1000 | X | = | 1143 125 | + | 381 100000 | X |
Transposition :
| - | 1 1000 | X | − | 381 100000 | X | = | 1143 125 | − | 400 21 |
Combine the items on the left of the equation:
| - | 481 100000 | X | = | 1143 125 | − | 400 21 |
Combine the items on the right of the equation:
| - | 481 100000 | X | = | - | 25997 2625 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
25997 2625 | = | 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 2625 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 25997 2625 | ÷ | 481 100000 |
| = | 25997 2625 | × | 100000 481 |
| = | 25997 21 | × | 800 481 |
We obtained :
| X | = | 20797600 10101 |
Convert the result to decimal form :
| X | = | 2058.964459 |