8n^2+8n=70

Solution for 8n^2+8n=70 equation:

8n^2+8n=70

We move all terms to the left:

8n^2+8n-(70)=0

a = 8; b = 8; c = -70;
Δ = b2-4ac
Δ = 82-4·8·(-70)
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-48}{2*8}=\frac{-56}{16}
=-3+1/2
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+48}{2*8}=\frac{40}{16}
=2+1/2
$