2p^2+16p+33=3

Solution for 2p^2+16p+33=3 equation:

Simplifying
2p2 + 16p + 33 = 3

Reorder the terms:
33 + 16p + 2p2 = 3

Solving
33 + 16p + 2p2 = 3

Solving for variable 'p'.

Reorder the terms:
33 + -3 + 16p + 2p2 = 3 + -3

Combine like terms: 33 + -3 = 30
30 + 16p + 2p2 = 3 + -3

Combine like terms: 3 + -3 = 0
30 + 16p + 2p2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + 8p + p2) = 0

Factor a trinomial.
2((5 + p)(3 + p)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + p)' equal to zero and attempt to solve:

Simplifying
5 + p = 0

Solving
5 + p = 0

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

Add '-5' to each side of the equation.
5 + -5 + p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + p = 0 + -5
p = 0 + -5

Combine like terms: 0 + -5 = -5
p = -5

Simplifying
p = -5
Subproblem 2
Set the factor '(3 + p)' equal to zero and attempt to solve:

Simplifying
3 + p = 0

Solving
3 + p = 0

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

Add '-3' to each side of the equation.
3 + -3 + p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + p = 0 + -3
p = 0 + -3

Combine like terms: 0 + -3 = -3
p = -3

Simplifying
p = -3
Solution
p = {-5, -3}