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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 56*-580-40*-(56x*13%-5x)*12% = 0 .
Question type: Equation
Solution:Original question:
| 56 | − | 580 | − | 40 | − | ( | 56 | x | × | 13 100 | − | 5 | x | ) | × | 12 100 | = | 0 |
| Left side of the equation = | - | 564 | − | ( | 56 | x | × | 13 100 | − | 5 | x | ) | × | 12 100 |
| - | 564 | − | ( | 56 | x | × | 13 100 | − | 5 | x | ) | × | 12 100 | = | 0 |
| Left side of the equation = | - | 564 | − | 56 | x | × | 13 100 | × | 12 100 | + | 5 | x | × | 12 100 |
| = | - | 564 | − | 546 625 | x | + | 3 5 | x |
| = | - | 564 | − | 171 625 | x |
| - | 564 | − | 171 625 | x | = | 0 |
Transposition :
| - | 171 625 | x | = | 0 | + | 564 |
Combine the items on the right of the equation:
| - | 171 625 | x | = | 564 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 564 | = | 171 625 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
171 625 | x | = | - | 564 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 564 | ÷ | 171 625 |
| = | - | 564 | × | 625 171 |
| = | - | 188 | × | 625 57 |
We obtained :
| x | = | - | 117500 57 |
Convert the result to decimal form :
| x | = | - 2061.403509 |