(p+6)(p+4)=

Solution for (p+6)(p+4)= equation:

Simplifying
(p + 6)(p + 4) = 0

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

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

Multiply (6 + p) * (4 + p)
(6(4 + p) + p(4 + p)) = 0
((4 * 6 + p * 6) + p(4 + p)) = 0
((24 + 6p) + p(4 + p)) = 0
(24 + 6p + (4 * p + p * p)) = 0
(24 + 6p + (4p + p2)) = 0

Combine like terms: 6p + 4p = 10p
(24 + 10p + p2) = 0

Solving
24 + 10p + p2 = 0

Solving for variable 'p'.

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

Subproblem 1
Set the factor '(6 + p)' equal to zero and attempt to solve:

Simplifying
6 + p = 0

Solving
6 + p = 0

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

Add '-6' to each side of the equation.
6 + -6 + p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + p = 0 + -6
p = 0 + -6

Combine like terms: 0 + -6 = -6
p = -6

Simplifying
p = -6
Subproblem 2
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
Solution
p = {-6, -4}