6p2-4p-3p=2=0

Solution for 6p2-4p-3p=2=0 equation:

6p^2-4p-3p=2=0

We move all terms to the left:

6p^2-4p-3p-(2)=0

We add all the numbers together, and all the variables

6p^2-7p-2=0

a = 6; b = -7; c = -2;
Δ = b2-4ac
Δ = -72-4·6·(-2)
Δ = 97
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{97}}{2*6}=\frac{7-\sqrt{97}}{12}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{97}}{2*6}=\frac{7+\sqrt{97}}{12}
$