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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/144-0.1021617） = 2.8（X+86.4） .
Question type: Equation
Solution:Original question:
| 4200 | ( | X | ÷ | 144 | − | 1021617 10000000 | ) | = | 14 5 | ( | X | + | 432 5 | ) |
| Left side of the equation = | 4200 | X | ÷ | 144 | − | 4200 | × | 1021617 10000000 |
| = | 175 6 | X | − | 21453957 50000 |
175 6 | X | − | 21453957 50000 | = | 14 5 | ( | X | + | 432 5 | ) |
| Right side of the equation = | 14 5 | X | + | 14 5 | × | 432 5 |
| = | 14 5 | X | + | 6048 25 |
175 6 | X | − | 21453957 50000 | = | 14 5 | X | + | 6048 25 |
Transposition :
175 6 | X | − | 14 5 | X | = | 6048 25 | + | 21453957 50000 |
Combine the items on the left of the equation:
791 30 | X | = | 6048 25 | + | 21453957 50000 |
Combine the items on the right of the equation:
791 30 | X | = | 33549957 50000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 33549957 50000 | ÷ | 791 30 |
| = | 33549957 50000 | × | 30 791 |
| = | 4792851 5000 | × | 3 113 |
We obtained :
| X | = | 14378553 565000 |
Convert the result to decimal form :
| X | = | 25.448766 |