6p^2-12p-44=-4

Solution for 6p^2-12p-44=-4 equation:

6p^2-12p-44=-4

We move all terms to the left:

6p^2-12p-44-(-4)=0

We add all the numbers together, and all the variables

6p^2-12p-40=0

a = 6; b = -12; c = -40;
Δ = b2-4ac
Δ = -122-4·6·(-40)
Δ = 1104
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1104}=\sqrt{16*69}=\sqrt{16}*\sqrt{69}=4\sqrt{69}$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-4\sqrt{69}}{2*6}=\frac{12-4\sqrt{69}}{12}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+4\sqrt{69}}{2*6}=\frac{12+4\sqrt{69}}{12}
$