0.75n^2=108

Solution for 0.75n^2=108 equation:

0.75n^2=108

We move all terms to the left:

0.75n^2-(108)=0

a = 0.75; b = 0; c = -108;
Δ = b2-4ac
Δ = 02-4·0.75·(-108)
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-18}{2*0.75}=\frac{-18}{1.5}
=-12
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+18}{2*0.75}=\frac{18}{1.5}
=12
$