3.3(n-8)n=1.2

Solution for 3.3(n-8)n=1.2 equation:

3.3(n-8)n=1.2

We move all terms to the left:

3.3(n-8)n-(1.2)=0

We add all the numbers together, and all the variables

3.3(n-8)n-1.2=0

We multiply parentheses

3n^2-24n-1.2=0

a = 3; b = -24; c = -1.2;
Δ = b2-4ac
Δ = -242-4·3·(-1.2)
Δ = 590.4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-\sqrt{590.4}}{2*3}=\frac{24-\sqrt{590.4}}{6}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+\sqrt{590.4}}{2*3}=\frac{24+\sqrt{590.4}}{6}
$