2p^2+13p+21=0

Solution for 2p^2+13p+21=0 equation:

Simplifying
2p2 + 13p + 21 = 0

Reorder the terms:
21 + 13p + 2p2 = 0

Solving
21 + 13p + 2p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(7 + 2p)(3 + p) = 0

Subproblem 1
Set the factor '(7 + 2p)' equal to zero and attempt to solve:

Simplifying
7 + 2p = 0

Solving
7 + 2p = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2p = 0 + -7
2p = 0 + -7

Combine like terms: 0 + -7 = -7
2p = -7

Divide each side by '2'.
p = -3.5

Simplifying
p = -3.5
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 = {-3.5, -3}