-2p^2-12p-16=

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Solution for -2p^2-12p-16= equation:


Simplifying
-2p2 + -12p + -16 = 0

Reorder the terms:
-16 + -12p + -2p2 = 0

Solving
-16 + -12p + -2p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(8 + 6p + p2) = 0

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

Ignore the factor -2.

Subproblem 1

Set the factor '(4 + p)' equal to zero and attempt to solve: Simplifying 4 + p = 0 Solving 4 + p = 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 + p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + p = 0 + -4 p = 0 + -4 Combine like terms: 0 + -4 = -4 p = -4 Simplifying p = -4

Subproblem 2

Set the factor '(2 + p)' equal to zero and attempt to solve: Simplifying 2 + p = 0 Solving 2 + p = 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 + p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p = 0 + -2 p = 0 + -2 Combine like terms: 0 + -2 = -2 p = -2 Simplifying p = -2

Solution

p = {-4, -2}

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