n^2-11n-8=-8-3n

Solution for n^2-11n-8=-8-3n equation:

n^2-11n-8=-8-3n

We move all terms to the left:

n^2-11n-8-(-8-3n)=0

We add all the numbers together, and all the variables

n^2-11n-(-3n-8)-8=0

We get rid of parentheses

n^2-11n+3n+8-8=0

We add all the numbers together, and all the variables

n^2-8n=0

a = 1; b = -8; c = 0;
Δ = b2-4ac
Δ = -82-4·1·0
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-8}{2*1}=\frac{0}{2}
=0
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+8}{2*1}=\frac{16}{2}
=8
$