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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 15/102+2/44.7+X/1000+（75.4-X）/1650 = 0.314 .
Question type: Equation
Solution:Original question:
| 15 | ÷ | 102 | + | 2 | ÷ | 447 10 | + | X | ÷ | 1000 | + | ( | 377 5 | − | X | ) | ÷ | 1650 | = | 157 500 |
| Left side of the equation = | 5 34 | + | 20 447 | + | X | × | 1 1000 | + | ( | 377 5 | − | X | ) | × | 1 1650 |
| = | 2915 15198 | + | 1 1000 | X | + | ( | 377 5 | − | X | ) | × | 1 1650 |
2915 15198 | + | 1 1000 | X | + | ( | 377 5 | − | X | ) | × | 1 1650 | = | 157 500 |
| Left side of the equation = | 2915 15198 | + | 1 1000 | X | + | 377 5 | × | 1 1650 | − | X | × | 1 1650 |
| = | 2915 15198 | + | 1 1000 | X | + | 377 8250 | − | X | × | 1 1650 |
| = | 2481533 10448625 | + | 13 33000 | X |
2481533 10448625 | + | 13 33000 | X | = | 157 500 |
Transposition :
13 33000 | X | = | 157 500 | − | 2481533 10448625 |
Combine the items on the right of the equation:
13 33000 | X | = | 3197341 41794500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 3197341 41794500 | ÷ | 13 33000 |
| = | 3197341 41794500 | × | 33000 13 |
| = | 3197341 2533 | × | 2 13 |
We obtained :
| X | = | 6394682 32929 |
Convert the result to decimal form :
| X | = | 194.196058 |