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Work: Find the solution of equation (8%*100/55*x)/(1-8%*100/55*x) = 10% .
Question type: Equation
Solution:Original question:| | ( | 8 100 | × | 100 | ÷ | 55 | × | x | ) | ÷ | ( | 1 | − | 8 100 | × | 100 | ÷ | 55 | × | x | ) | = | 10 100 |
| Multiply both sides of the equation by: | ( | 1 | − | 8 100 | × | 100 | ÷ | 55 | × | x | ) |
| | ( | 8 100 | × | 100 | ÷ | 55 | × | x | ) | = | 10 100 | ( | 1 | − | 8 100 | × | 100 | ÷ | 55 | × | x | ) |
Remove a bracket on the left of the equation::
| | 8 100 | × | 100 | ÷ | 55 | × | x | = | 10 100 | ( | 1 | − | 8 100 | × | 100 | ÷ | 55 | × | x | ) |
Remove a bracket on the right of the equation::
| | 8 100 | × | 100 | ÷ | 55 | × | x | = | 10 100 | × | 1 | − | 10 100 | × | 8 100 | × | 100 | ÷ | 55 | × | x |
The equation is reduced to :
Transposition :
Combine the items on the left of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
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