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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 4200（X/126-0.05-8/277） = 2.8（80+X） .
Question type: Equation
Solution:Original question:
| 4200 | ( | X | ÷ | 126 | − | 1 20 | − | 8 | ÷ | 277 | ) | = | 14 5 | ( | 80 | + | X | ) |
| Left side of the equation = | 4200 | X | ÷ | 126 | − | 4200 | × | 1 20 | − | 4200 | × | 8 | ÷ | 277 |
| = | 100 3 | X | − | 210 | − | 33600 277 |
| = | 100 3 | X | − | 91770 277 |
100 3 | X | − | 91770 277 | = | 14 5 | ( | 80 | + | X | ) |
| Right side of the equation = | 14 5 | × | 80 | + | 14 5 | X |
| = | 224 | + | 14 5 | X |
100 3 | X | − | 91770 277 | = | 224 | + | 14 5 | X |
Transposition :
100 3 | X | − | 14 5 | X | = | 224 | + | 91770 277 |
Combine the items on the left of the equation:
458 15 | X | = | 224 | + | 91770 277 |
Combine the items on the right of the equation:
458 15 | X | = | 153818 277 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 153818 277 | ÷ | 458 15 |
| = | 153818 277 | × | 15 458 |
| = | 76909 277 | × | 15 229 |
We obtained :
| X | = | 1153635 63433 |
Convert the result to decimal form :
| X | = | 18.186669 |