p^2=-4p+32

Solution for p^2=-4p+32 equation:

Simplifying
p2 = -4p + 32

Reorder the terms:
p2 = 32 + -4p

Solving
p2 = 32 + -4p

Solving for variable 'p'.

Reorder the terms:
-32 + 4p + p2 = 32 + -4p + -32 + 4p

Reorder the terms:
-32 + 4p + p2 = 32 + -32 + -4p + 4p

Combine like terms: 32 + -32 = 0
-32 + 4p + p2 = 0 + -4p + 4p
-32 + 4p + p2 = -4p + 4p

Combine like terms: -4p + 4p = 0
-32 + 4p + p2 = 0

Factor a trinomial.
(-8 + -1p)(4 + -1p) = 0

Subproblem 1
Set the factor '(-8 + -1p)' equal to zero and attempt to solve:

Simplifying
-8 + -1p = 0

Solving
-8 + -1p = 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 + -1p = 0 + 8

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

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

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

Simplifying
p = -8
Subproblem 2
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
Solution
p = {-8, 4}