$\frac{25^x+125}{6}=5^{x+1}$ what is the value of $x$?

Question

It is just the title, $$\frac{25^x+125}{6}=5^{x+1}$$ What is the value of $x$?

Thanks.

Answer 1

Hint:

$$25^x+125 = 6(5^{x+1})$$

$$5^{2x}-30(5^x)+125=0$$

Quadratic equation might be helpful.