5n*5n=25n

Solution for 5n*5n=25n equation:

5n*5n=25n

We move all terms to the left:

5n*5n-(25n)=0

We add all the numbers together, and all the variables

-25n+5n*5n=0

Wy multiply elements

25n^2-25n=0

a = 25; b = -25; c = 0;
Δ = b2-4ac
Δ = -252-4·25·0
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-25}{2*25}=\frac{0}{50}
=0
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+25}{2*25}=\frac{50}{50}
=1
$