p(p-16)=-48

Solution for p(p-16)=-48 equation:

Simplifying
p(p + -16) = -48

Reorder the terms:
p(-16 + p) = -48
(-16 * p + p * p) = -48
(-16p + p2) = -48

Solving
-16p + p2 = -48

Solving for variable 'p'.

Reorder the terms:
48 + -16p + p2 = -48 + 48

Combine like terms: -48 + 48 = 0
48 + -16p + p2 = 0

Factor a trinomial.
(4 + -1p)(12 + -1p) = 0

Subproblem 1
Set the factor '(4 + -1p)' equal to zero and attempt to solve:

Simplifying
4 + -1p = 0

Solving
4 + -1p = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1p = 0 + -4
-1p = 0 + -4

Combine like terms: 0 + -4 = -4
-1p = -4

Divide each side by '-1'.
p = 4

Simplifying
p = 4
Subproblem 2
Set the factor '(12 + -1p)' equal to zero and attempt to solve:

Simplifying
12 + -1p = 0

Solving
12 + -1p = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1p = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1p = 0 + -12
-1p = 0 + -12

Combine like terms: 0 + -12 = -12
-1p = -12

Divide each side by '-1'.
p = 12

Simplifying
p = 12
Solution
p = {4, 12}