6p^2+8p=30

Solution for 6p^2+8p=30 equation:

6p^2+8p=30

We move all terms to the left:

6p^2+8p-(30)=0

a = 6; b = 8; c = -30;
Δ = b2-4ac
Δ = 82-4·6·(-30)
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-28}{2*6}=\frac{-36}{12}
=-3
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+28}{2*6}=\frac{20}{12}
=1+2/3
$