8*n^2+6n-2700=0

Solution for 8*n^2+6n-2700=0 equation:

8n^2+6n-2700=0

a = 8; b = 6; c = -2700;
Δ = b2-4ac
Δ = 62-4·8·(-2700)
Δ = 86436
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{86436}=294$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-294}{2*8}=\frac{-300}{16}
=-18+3/4
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+294}{2*8}=\frac{288}{16}
=18
$