5p^2q^2-7pq-6=0

Solution for 5p^2q^2-7pq-6=0 equation:

Simplifying
5p2q2 + -7pq + -6 = 0

Reorder the terms:
-6 + -7pq + 5p2q2 = 0

Solving
-6 + -7pq + 5p2q2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-3 + -5pq)(2 + -1pq) = 0

Subproblem 1
Set the factor '(-3 + -5pq)' equal to zero and attempt to solve:

Simplifying
-3 + -5pq = 0

Solving
-3 + -5pq = 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 + -5pq = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5pq = 0 + 3
-5pq = 0 + 3

Combine like terms: 0 + 3 = 3
-5pq = 3

Divide each side by '-5q'.
p = -0.6q-1

Simplifying
p = -0.6q-1
Subproblem 2
Set the factor '(2 + -1pq)' equal to zero and attempt to solve:

Simplifying
2 + -1pq = 0

Solving
2 + -1pq = 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 + -1pq = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1pq = 0 + -2
-1pq = 0 + -2

Combine like terms: 0 + -2 = -2
-1pq = -2

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

Simplifying
p = 2q-1
Solution
p = {-0.6q-1, 2q-1}