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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 （47x-（2050-20.37x）-（47x*0.13-3.2x-100）*0.1 ) = 0 .
Question type: Equation
Solution:Original question:
| ( | 47 | x | − | ( | 2050 | − | 2037 100 | x | ) | − | ( | 47 | x | × | 13 100 | − | 16 5 | x | − | 100 | ) | × | 1 10 | ) | = | 0 |
| Left side of the equation = | 47 | x | − | ( | 2050 | − | 2037 100 | x | ) | − | ( | 47 | x | × | 13 100 | − | 16 5 | x | − | 100 | ) | × | 1 10 |
| = | 47 | x | − | 2050 | + | 2037 100 | x | − | ( | 47 | x | × | 13 100 | − | 16 5 | x | − | 100 | ) | × | 1 10 |
| = | 6737 100 | x | − | 2050 | − | ( | 47 | x | × | 13 100 | − | 16 5 | x | − | 100 | ) | × | 1 10 |
| = | 6737 100 | x | − | 2050 | − | 47 | x | × | 13 100 | × | 1 10 | + | 16 5 | x | × | 1 10 | + | 100 | × | 1 10 |
| = | 6737 100 | x | − | 2050 | − | 611 1000 | x | + | 8 25 | x | + | 10 |
| = | 67079 1000 | x | − | 2040 |
67079 1000 | x | − | 2040 | = | 0 |
Transposition :
67079 1000 | x | = | 0 | + | 2040 |
Combine the items on the right of the equation:
67079 1000 | x | = | 2040 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2040 | ÷ | 67079 1000 |
| = | 2040 | × | 1000 67079 |
We obtained :
| x | = | 2040000 67079 |
Convert the result to decimal form :
| x | = | 30.411902 |