3n^2-0.75+3n^2-0.75=180

Solution for 3n^2-0.75+3n^2-0.75=180 equation:

3n^2-0.75+3n^2-0.75=180

We move all terms to the left:

3n^2-0.75+3n^2-0.75-(180)=0

We add all the numbers together, and all the variables

6n^2-181.5=0

a = 6; b = 0; c = -181.5;
Δ = b2-4ac
Δ = 02-4·6·(-181.5)
Δ = 4356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4356}=66$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-66}{2*6}=\frac{-66}{12}
=-5+1/2
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+66}{2*6}=\frac{66}{12}
=5+1/2
$