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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 56x*（1+13%）-580-40x-5x-（56x-5x）*12% = 0 .
Question type: Equation
Solution:Original question:
| 56 | x | ( | 1 | + | 13 100 | ) | − | 580 | − | 40 | x | − | 5 | x | − | ( | 56 | x | − | 5 | x | ) | × | 12 100 | = | 0 |
| Left side of the equation = | 56 | x | ( | 1 | + | 13 100 | ) | − | 580 | − | 45 | x | − | ( | 56 | x | − | 5 | x | ) | × | 12 100 |
| 56 | x | ( | 1 | + | 13 100 | ) | − | 580 | − | 45 | x | − | ( | 56 | x | − | 5 | x | ) | × | 12 100 | = | 0 |
| Left side of the equation = | 56 | x | × | 1 | + | 56 | x | × | 13 100 | − | 580 | − | 45 | x | − | ( | 56 | x | − | 5 | x | ) | × | 12 100 |
| = | 56 | x | + | 182 25 | x | − | 580 | − | 45 | x | − | ( | 56 | x | − | 5 | x | ) | × | 12 100 |
| = | 457 25 | x | − | 580 | − | ( | 56 | x | − | 5 | x | ) | × | 12 100 |
| = | 457 25 | x | − | 580 | − | 56 | x | × | 12 100 | + | 5 | x | × | 12 100 |
| = | 457 25 | x | − | 580 | − | 168 25 | x | + | 3 5 | x |
| = | 304 25 | x | − | 580 |
304 25 | x | − | 580 | = | 0 |
Transposition :
304 25 | x | = | 0 | + | 580 |
Combine the items on the right of the equation:
304 25 | x | = | 580 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 580 | ÷ | 304 25 |
| = | 580 | × | 25 304 |
| = | 145 | × | 25 76 |
We obtained :
| x | = | 3625 76 |
Convert the result to decimal form :
| x | = | 47.697368 |