8n^2+8n-576=0

Solution for 8n^2+8n-576=0 equation:

8n^2+8n-576=0

a = 8; b = 8; c = -576;
Δ = b2-4ac
Δ = 82-4·8·(-576)
Δ = 18496
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{18496}=136$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-136}{2*8}=\frac{-144}{16}
=-9
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+136}{2*8}=\frac{128}{16}
=8
$