6p^2-33p=33p

Solution for 6p^2-33p=33p equation:

6p^2-33p=33p

We move all terms to the left:

6p^2-33p-(33p)=0

We add all the numbers together, and all the variables

6p^2-66p=0

a = 6; b = -66; c = 0;
Δ = b2-4ac
Δ = -662-4·6·0
Δ = 4356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4356}=66$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-66)-66}{2*6}=\frac{0}{12}
=0
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-66)+66}{2*6}=\frac{132}{12}
=11
$