(2p+1)(p+3)=

Solution for (2p+1)(p+3)= equation:

Simplifying
(2p + 1)(p + 3) = 0

Reorder the terms:
(1 + 2p)(p + 3) = 0

Reorder the terms:
(1 + 2p)(3 + p) = 0

Multiply (1 + 2p) * (3 + p)
(1(3 + p) + 2p * (3 + p)) = 0
((3 * 1 + p * 1) + 2p * (3 + p)) = 0
((3 + 1p) + 2p * (3 + p)) = 0
(3 + 1p + (3 * 2p + p * 2p)) = 0
(3 + 1p + (6p + 2p2)) = 0

Combine like terms: 1p + 6p = 7p
(3 + 7p + 2p2) = 0

Solving
3 + 7p + 2p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(3 + p)(1 + 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 '(1 + 2p)' equal to zero and attempt to solve:

Simplifying
1 + 2p = 0

Solving
1 + 2p = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2p = 0 + -1
2p = 0 + -1

Combine like terms: 0 + -1 = -1
2p = -1

Divide each side by '2'.
p = -0.5

Simplifying
p = -0.5
Solution
p = {-3, -0.5}