(p+3)(p+4)=

Solution for (p+3)(p+4)= equation:

Simplifying
(p + 3)(p + 4) = 0

Reorder the terms:
(3 + p)(p + 4) = 0

Reorder the terms:
(3 + p)(4 + p) = 0

Multiply (3 + p) * (4 + p)
(3(4 + p) + p(4 + p)) = 0
((4 * 3 + p * 3) + p(4 + p)) = 0
((12 + 3p) + p(4 + p)) = 0
(12 + 3p + (4 * p + p * p)) = 0
(12 + 3p + (4p + p2)) = 0

Combine like terms: 3p + 4p = 7p
(12 + 7p + p2) = 0

Solving
12 + 7p + p2 = 0

Solving for variable 'p'.

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

Subproblem 1
Set the factor '(4 + p)' equal to zero and attempt to solve:

Simplifying
4 + p = 0

Solving
4 + p = 0

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

Add '-4' to each side of the equation.
4 + -4 + p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + p = 0 + -4
p = 0 + -4

Combine like terms: 0 + -4 = -4
p = -4

Simplifying
p = -4
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 = {-4, -3}