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

Solution for (p-6)(p+4)=0 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 = -2p
(-24 + -2p + p2) = 0

Solving
-24 + -2p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-4 + -1p)(6 + -1p) = 0

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

Simplifying
-4 + -1p = 0

Solving
-4 + -1p = 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 + -1p = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1p = 0 + 4
-1p = 0 + 4

Combine like terms: 0 + 4 = 4
-1p = 4

Divide each side by '-1'.
p = -4

Simplifying
p = -4
Subproblem 2
Set the factor '(6 + -1p)' equal to zero and attempt to solve:

Simplifying
6 + -1p = 0

Solving
6 + -1p = 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 + -1p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1p = 0 + -6
-1p = 0 + -6

Combine like terms: 0 + -6 = -6
-1p = -6

Divide each side by '-1'.
p = 6

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