24p^2-6p-12=6

Solution for 24p^2-6p-12=6 equation:

24p^2-6p-12=6

We move all terms to the left:

24p^2-6p-12-(6)=0

We add all the numbers together, and all the variables

24p^2-6p-18=0

a = 24; b = -6; c = -18;
Δ = b2-4ac
Δ = -62-4·24·(-18)
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-42}{2*24}=\frac{-36}{48}
=-3/4
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+42}{2*24}=\frac{48}{48}
=1
$