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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/500+（75-X）/1650 = 0.314 .
Question type: Equation
Solution:Original question:
| 15 | ÷ | 102 | + | 2 | ÷ | 447 10 | + | X | ÷ | 500 | + | ( | 75 | − | X | ) | ÷ | 1650 | = | 157 500 |
| Left side of the equation = | 5 34 | + | 20 447 | + | X | × | 1 500 | + | ( | 75 | − | X | ) | × | 1 1650 |
| = | 2915 15198 | + | 1 500 | X | + | ( | 75 | − | X | ) | × | 1 1650 |
2915 15198 | + | 1 500 | X | + | ( | 75 | − | X | ) | × | 1 1650 | = | 157 500 |
| Left side of the equation = | 2915 15198 | + | 1 500 | X | + | 75 | × | 1 1650 | − | X | × | 1 1650 |
| = | 2915 15198 | + | 1 500 | X | + | 1 22 | − | X | × | 1 1650 |
| = | 19832 83589 | + | 23 16500 | X |
19832 83589 | + | 23 16500 | X | = | 157 500 |
Transposition :
23 16500 | X | = | 157 500 | − | 19832 83589 |
Combine the items on the right of the equation:
23 16500 | X | = | 3207473 41794500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 3207473 41794500 | ÷ | 23 16500 |
| = | 3207473 41794500 | × | 16500 23 |
| = | 3207473 2533 | × | 1 23 |
We obtained :
| X | = | 3207473 58259 |
Convert the result to decimal form :
| X | = | 55.055408 |