How to solve the following equation

5^(2x) - 5^(x+3) + 125 = 5^x

This problem has been given under quadratic.

Any help in this regard solicited.

Thanks.

Arangaswamy

2. ## Re: some quadratic equation

$\displaystyle 5^{2x} - 5^{x+3} + 125 = 5^x \Rightarrow 5^{2x} - 5^{x+3} + 125 - 5^x = 0$

note that $\displaystyle 5^{x+3} = 5^x \cdot 5^3$

factor 5^x and factor 5^3
or you can let $\displaystyle y = 5^x$ and see what happened

3. ## Re: some quadratic equation

Thank you. I will do that and get back to you.