(5n)=5n2

Solution for (5n)=5n2 equation:

(5n)=5n^2

We move all terms to the left:

(5n)-(5n^2)=0

determiningTheFunctionDomain
-5n^2+5n=0

a = -5; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·(-5)·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*-5}=\frac{-10}{-10}
=1
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*-5}=\frac{0}{-10}
=0
$