p^2-pq-6q^2=

Solution for p^2-pq-6q^2= equation:

Simplifying
p2 + -1pq + -6q2 = 0

Reorder the terms:
-1pq + p2 + -6q2 = 0

Solving
-1pq + p2 + -6q2 = 0

Solving for variable 'p'.

Factor a trinomial.
(p + -3q)(p + 2q) = 0

Subproblem 1
Set the factor '(p + -3q)' equal to zero and attempt to solve:

Simplifying
p + -3q = 0

Solving
p + -3q = 0

Move all terms containing p to the left, all other terms to the right.

Add '3q' to each side of the equation.
p + -3q + 3q = 0 + 3q

Combine like terms: -3q + 3q = 0
p + 0 = 0 + 3q
p = 0 + 3q
Remove the zero:
p = 3q

Simplifying
p = 3q
Subproblem 2
Set the factor '(p + 2q)' equal to zero and attempt to solve:

Simplifying
p + 2q = 0

Solving
p + 2q = 0

Move all terms containing p to the left, all other terms to the right.

Add '-2q' to each side of the equation.
p + 2q + -2q = 0 + -2q

Combine like terms: 2q + -2q = 0
p + 0 = 0 + -2q
p = 0 + -2q
Remove the zero:
p = -2q

Simplifying
p = -2q
Solution
p = {3q, -2q}