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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+15/133.58 = 0.00176(X+40.7） .
Question type: Equation
Solution:Original question:
| X | ÷ | 1000 | + | 15 | ÷ | 6679 50 | = | 11 6250 | ( | X | + | 407 10 | ) |
| Left side of the equation = | X | × | 1 1000 | + | 750 6679 |
1 1000 | X | + | 750 6679 | = | 11 6250 | ( | X | + | 407 10 | ) |
| Right side of the equation = | 11 6250 | X | + | 11 6250 | × | 407 10 |
| = | 11 6250 | X | + | 4477 62500 |
1 1000 | X | + | 750 6679 | = | 11 6250 | X | + | 4477 62500 |
Transposition :
1 1000 | X | − | 11 6250 | X | = | 4477 62500 | − | 750 6679 |
Combine the items on the left of the equation:
| - | 19 25000 | X | = | 4477 62500 | − | 750 6679 |
Combine the items on the right of the equation:
| - | 19 25000 | X | = | - | 16973117 417437500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
16973117 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 | = | 16973117 417437500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 16973117 417437500 | ÷ | 19 25000 |
| = | 16973117 417437500 | × | 25000 19 |
| = | 16973117 33395 | × | 2 19 |
We obtained :
| X | = | 33946234 634505 |
Convert the result to decimal form :
| X | = | 53.500341 |