9n+4+3n^2-0.75=360

Solution for 9n+4+3n^2-0.75=360 equation:

9n+4+3n^2-0.75=360

We move all terms to the left:

9n+4+3n^2-0.75-(360)=0

We add all the numbers together, and all the variables

3n^2+9n-356.75=0

a = 3; b = 9; c = -356.75;
Δ = b2-4ac
Δ = 92-4·3·(-356.75)
Δ = 4362
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-\sqrt{4362}}{2*3}=\frac{-9-\sqrt{4362}}{6}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{4362}}{2*3}=\frac{-9+\sqrt{4362}}{6}
$