4p^2-16p=-16

Solution for 4p^2-16p=-16 equation:

Simplifying
4p2 + -16p = -16

Reorder the terms:
-16p + 4p2 = -16

Solving
-16p + 4p2 = -16

Solving for variable 'p'.

Reorder the terms:
16 + -16p + 4p2 = -16 + 16

Combine like terms: -16 + 16 = 0
16 + -16p + 4p2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + -4p + p2) = 0

Factor a trinomial.
4((2 + -1p)(2 + -1p)) = 0

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

Simplifying
2 + -1p = 0

Solving
2 + -1p = 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 + -1p = 0 + -2

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

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

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

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

Simplifying
2 + -1p = 0

Solving
2 + -1p = 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 + -1p = 0 + -2

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

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

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

Simplifying
p = 2
Solution
p = {2, 2}