-984=-8n^2+14n

Solution for -984=-8n^2+14n equation:

-984=-8n^2+14n

We move all terms to the left:

-984-(-8n^2+14n)=0

We get rid of parentheses

8n^2-14n-984=0

a = 8; b = -14; c = -984;
Δ = b2-4ac
Δ = -142-4·8·(-984)
Δ = 31684
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{31684}=178$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-178}{2*8}=\frac{-164}{16}
=-10+1/4
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+178}{2*8}=\frac{192}{16}
=12
$