3(6n2-30)=360

Solution for 3(6n2-30)=360 equation:

3(6n^2-30)=360

We move all terms to the left:

3(6n^2-30)-(360)=0

We multiply parentheses

18n^2-90-360=0

We add all the numbers together, and all the variables

18n^2-450=0

a = 18; b = 0; c = -450;
Δ = b2-4ac
Δ = 02-4·18·(-450)
Δ = 32400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{32400}=180$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-180}{2*18}=\frac{-180}{36}
=-5
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+180}{2*18}=\frac{180}{36}
=5
$