3p^2-6p-7p=2

Solution for 3p^2-6p-7p=2 equation:

3p^2-6p-7p=2

We move all terms to the left:

3p^2-6p-7p-(2)=0

We add all the numbers together, and all the variables

3p^2-13p-2=0

a = 3; b = -13; c = -2;
Δ = b2-4ac
Δ = -132-4·3·(-2)
Δ = 193
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{-(-13)-\sqrt{193}}{2*3}=\frac{13-\sqrt{193}}{6}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+\sqrt{193}}{2*3}=\frac{13+\sqrt{193}}{6}
$