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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/1000+13/133.58 = 0.00176(X+38.7） .
Question type: Equation
Solution:Original question:
| X | ÷ | 1000 | + | 13 | ÷ | 6679 50 | = | 11 6250 | ( | X | + | 387 10 | ) |
| Left side of the equation = | X | × | 1 1000 | + | 650 6679 |
1 1000 | X | + | 650 6679 | = | 11 6250 | ( | X | + | 387 10 | ) |
| Right side of the equation = | 11 6250 | X | + | 11 6250 | × | 387 10 |
| = | 11 6250 | X | + | 4257 62500 |
1 1000 | X | + | 650 6679 | = | 11 6250 | X | + | 4257 62500 |
Transposition :
1 1000 | X | − | 11 6250 | X | = | 4257 62500 | − | 650 6679 |
Combine the items on the left of the equation:
| - | 19 25000 | X | = | 4257 62500 | − | 650 6679 |
Combine the items on the right of the equation:
| - | 19 25000 | X | = | - | 12192497 417437500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
12192497 417437500 | = | 19 25000 | 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 :
19 25000 | X | = | 12192497 417437500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 12192497 417437500 | ÷ | 19 25000 |
| = | 12192497 417437500 | × | 25000 19 |
| = | 12192497 33395 | × | 2 19 |
We obtained :
| X | = | 24384994 634505 |
Convert the result to decimal form :
| X | = | 38.431524 |