P(n)=3.4n^2-6n-2

Solution for P(n)=3.4n^2-6n-2 equation:

(P)=3.4P^2-6P-2

We move all terms to the left:

(P)-(3.4P^2-6P-2)=0

We get rid of parentheses

-3.4P^2+P+6P+2=0

We add all the numbers together, and all the variables

-3.4P^2+7P+2=0

a = -3.4; b = 7; c = +2;
Δ = b2-4ac
Δ = 72-4·(-3.4)·2
Δ = 76.2
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-\sqrt{76.2}}{2*-3.4}=\frac{-7-\sqrt{76.2}}{-6.8}
$
$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{76.2}}{2*-3.4}=\frac{-7+\sqrt{76.2}}{-6.8}
$