2p^2-13pq+15q^2=

Solution for 2p^2-13pq+15q^2= equation:

Simplifying
2p2 + -13pq + 15q2 = 0

Reorder the terms:
-13pq + 2p2 + 15q2 = 0

Solving
-13pq + 2p2 + 15q2 = 0

Solving for variable 'p'.

Factor a trinomial.
(p + -5q)(2p + -3q) = 0

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

Simplifying
p + -5q = 0

Solving
p + -5q = 0

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

Add '5q' to each side of the equation.
p + -5q + 5q = 0 + 5q

Combine like terms: -5q + 5q = 0
p + 0 = 0 + 5q
p = 0 + 5q
Remove the zero:
p = 5q

Simplifying
p = 5q
Subproblem 2
Set the factor '(2p + -3q)' equal to zero and attempt to solve:

Simplifying
2p + -3q = 0

Solving
2p + -3q = 0

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

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

Combine like terms: -3q + 3q = 0
2p + 0 = 0 + 3q
2p = 0 + 3q
Remove the zero:
2p = 3q

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

Simplifying
p = 1.5q
Solution
p = {5q, 1.5q}