66p^2=11(-12p)

Solution for 66p^2=11(-12p) equation:

66p^2=11(-12p)

We move all terms to the left:

66p^2-(11(-12p))=0


We calculate terms in parentheses: -(11(-12p)), so:

11(-12p)

We multiply parentheses

-132p

Back to the equation:

-(-132p)


We get rid of parentheses

66p^2+132p=0

a = 66; b = 132; c = 0;
Δ = b2-4ac
Δ = 1322-4·66·0
Δ = 17424
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{17424}=132$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(132)-132}{2*66}=\frac{-264}{132}
=-2
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(132)+132}{2*66}=\frac{0}{132}
=0
$