8n^2+9n-3=-4

Solution for 8n^2+9n-3=-4 equation:

8n^2+9n-3=-4

We move all terms to the left:

8n^2+9n-3-(-4)=0

We add all the numbers together, and all the variables

8n^2+9n+1=0

a = 8; b = 9; c = +1;
Δ = b2-4ac
Δ = 92-4·8·1
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-7}{2*8}=\frac{-16}{16}
=-1
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+7}{2*8}=\frac{-2}{16}
=-1/8
$