2p^2+15p+22=0

Solution for 2p^2+15p+22=0 equation:

Simplifying
2p2 + 15p + 22 = 0

Reorder the terms:
22 + 15p + 2p2 = 0

Solving
22 + 15p + 2p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(11 + 2p)(2 + p) = 0

Subproblem 1
Set the factor '(11 + 2p)' equal to zero and attempt to solve:

Simplifying
11 + 2p = 0

Solving
11 + 2p = 0

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

Add '-11' to each side of the equation.
11 + -11 + 2p = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2p = 0 + -11
2p = 0 + -11

Combine like terms: 0 + -11 = -11
2p = -11

Divide each side by '2'.
p = -5.5

Simplifying
p = -5.5
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 = {-5.5, -2}