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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*0.9x-40x-580-（56*0.9x*0.13-5x）*0.12 = 60 .
Question type: Equation
Solution:Original question:
| 56 | × | 9 10 | x | − | 40 | x | − | 580 | − | ( | 56 | × | 9 10 | x | × | 13 100 | − | 5 | x | ) | × | 3 25 | = | 60 |
| Left side of the equation = | 252 5 | x | − | 40 | x | − | 580 | − | ( | 56 | × | 9 10 | x | × | 13 100 | − | 5 | x | ) | × | 3 25 |
| = | 52 5 | x | − | 580 | − | ( | 56 | × | 9 10 | x | × | 13 100 | − | 5 | x | ) | × | 3 25 |
52 5 | x | − | 580 | − | ( | 56 | × | 9 10 | x | × | 13 100 | − | 5 | x | ) | × | 3 25 | = | 60 |
| Left side of the equation = | 52 5 | x | − | 580 | − | 56 | × | 9 10 | x | × | 13 100 | × | 3 25 | + | 5 | x | × | 3 25 |
| = | 52 5 | x | − | 580 | − | 2457 3125 | x | + | 3 5 | x |
| = | 31918 3125 | x | − | 580 |
31918 3125 | x | − | 580 | = | 60 |
Transposition :
31918 3125 | x | = | 60 | + | 580 |
Combine the items on the right of the equation:
31918 3125 | x | = | 640 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 640 | ÷ | 31918 3125 |
| = | 640 | × | 3125 31918 |
| = | 320 | × | 3125 15959 |
We obtained :
| x | = | 1000000 15959 |
Convert the result to decimal form :
| x | = | 62.660568 |