6p^2q^2-5pq-6=0

Solution for 6p^2q^2-5pq-6=0 equation:

Simplifying
6p2q2 + -5pq + -6 = 0

Reorder the terms:
-6 + -5pq + 6p2q2 = 0

Solving
-6 + -5pq + 6p2q2 = 0

Solving for variable 'p'.

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

Subproblem 1
Set the factor '(-2 + -3pq)' equal to zero and attempt to solve:

Simplifying
-2 + -3pq = 0

Solving
-2 + -3pq = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3pq = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3pq = 0 + 2
-3pq = 0 + 2

Combine like terms: 0 + 2 = 2
-3pq = 2

Divide each side by '-3q'.
p = -0.6666666667q-1

Simplifying
p = -0.6666666667q-1
Subproblem 2
Set the factor '(3 + -2pq)' equal to zero and attempt to solve:

Simplifying
3 + -2pq = 0

Solving
3 + -2pq = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2pq = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2pq = 0 + -3
-2pq = 0 + -3

Combine like terms: 0 + -3 = -3
-2pq = -3

Divide each side by '-2q'.
p = 1.5q-1

Simplifying
p = 1.5q-1
Solution
p = {-0.6666666667q-1, 1.5q-1}