(2p+3)(p+3)=

Solution for (2p+3)(p+3)= equation:

Simplifying
(2p + 3)(p + 3) = 0

Reorder the terms:
(3 + 2p)(p + 3) = 0

Reorder the terms:
(3 + 2p)(3 + p) = 0

Multiply (3 + 2p) * (3 + p)
(3(3 + p) + 2p * (3 + p)) = 0
((3 * 3 + p * 3) + 2p * (3 + p)) = 0
((9 + 3p) + 2p * (3 + p)) = 0
(9 + 3p + (3 * 2p + p * 2p)) = 0
(9 + 3p + (6p + 2p2)) = 0

Combine like terms: 3p + 6p = 9p
(9 + 9p + 2p2) = 0

Solving
9 + 9p + 2p2 = 0

Solving for variable 'p'.

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

Subproblem 1
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
Subproblem 2
Set the factor '(3 + 2p)' equal to zero and attempt to solve:

Simplifying
3 + 2p = 0

Solving
3 + 2p = 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 + 2p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2p = 0 + -3
2p = 0 + -3

Combine like terms: 0 + -3 = -3
2p = -3

Divide each side by '2'.
p = -1.5

Simplifying
p = -1.5
Solution
p = {-3, -1.5}