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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 （226.44*（1+20%））+（6%*x） = x .
Question type: Equation
Solution:Original question:
| ( | 5661 25 | ( | 1 | + | 20 100 | ) | ) | + | ( | 6 100 | x | ) | = | x |
| Left side of the equation = | 5661 25 | ( | 1 | + | 20 100 | ) | + | ( | 6 100 | x | ) |
| = | 5661 25 | × | 1 | + | 5661 25 | × | 20 100 | + | ( | 6 100 | x | ) |
| = | 5661 25 | + | 5661 125 | + | ( | 6 100 | x | ) |
| = | 33966 125 | + | ( | 6 100 | x | ) |
| = | 33966 125 | + | 6 100 | x |
33966 125 | + | 6 100 | x | = | x |
Transposition :
6 100 | x | − | x | = | - | 33966 125 |
Combine the items on the left of the equation:
| - | 47 50 | x | = | - | 33966 125 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
33966 125 | = | 47 50 | 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 :
47 50 | x | = | 33966 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 33966 125 | ÷ | 47 50 |
| = | 33966 125 | × | 50 47 |
| = | 33966 5 | × | 2 47 |
We obtained :
| x | = | 67932 235 |
Convert the result to decimal form :
| x | = | 289.07234 |