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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+3/44.7+X/500+（74-X）/1650 = 0.314 .
Question type: Equation
Solution:Original question:
| 15 | ÷ | 102 | + | 3 | ÷ | 447 10 | + | X | ÷ | 500 | + | ( | 74 | − | X | ) | ÷ | 1650 | = | 157 500 |
| Left side of the equation = | 5 34 | + | 10 149 | + | X | × | 1 500 | + | ( | 74 | − | X | ) | × | 1 1650 |
| = | 1085 5066 | + | 1 500 | X | + | ( | 74 | − | X | ) | × | 1 1650 |
1085 5066 | + | 1 500 | X | + | ( | 74 | − | X | ) | × | 1 1650 | = | 157 500 |
| Left side of the equation = | 1085 5066 | + | 1 500 | X | + | 74 | × | 1 1650 | − | X | × | 1 1650 |
| = | 1085 5066 | + | 1 500 | X | + | 37 825 | − | X | × | 1 1650 |
| = | 1082567 4179450 | + | 23 16500 | X |
1082567 4179450 | + | 23 16500 | X | = | 157 500 |
Transposition :
23 16500 | X | = | 157 500 | − | 1082567 4179450 |
Combine the items on the right of the equation:
23 16500 | X | = | 2297803 41794500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 2297803 41794500 | ÷ | 23 16500 |
| = | 2297803 41794500 | × | 16500 23 |
| = | 2297803 2533 | × | 1 23 |
We obtained :
| X | = | 2297803 58259 |
Convert the result to decimal form :
| X | = | 39.441168 |