w^2p^2-2wp-48=

Solution for w^2p^2-2wp-48= equation:

Simplifying
w2p2 + -2wp + -48 = 0

Reorder the terms:
-48 + -2pw + p2w2 = 0

Solving
-48 + -2pw + p2w2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-6 + -1pw)(8 + -1pw) = 0

Subproblem 1
Set the factor '(-6 + -1pw)' equal to zero and attempt to solve:

Simplifying
-6 + -1pw = 0

Solving
-6 + -1pw = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1pw = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1pw = 0 + 6
-1pw = 0 + 6

Combine like terms: 0 + 6 = 6
-1pw = 6

Divide each side by '-1w'.
p = -6w-1

Simplifying
p = -6w-1
Subproblem 2
Set the factor '(8 + -1pw)' equal to zero and attempt to solve:

Simplifying
8 + -1pw = 0

Solving
8 + -1pw = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1pw = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1pw = 0 + -8
-1pw = 0 + -8

Combine like terms: 0 + -8 = -8
-1pw = -8

Divide each side by '-1w'.
p = 8w-1

Simplifying
p = 8w-1
Solution
p = {-6w-1, 8w-1}