(p-6)(p-8)=0

Solution for (p-6)(p-8)=0 equation:

Simplifying
(p + -6)(p + -8) = 0

Reorder the terms:
(-6 + p)(p + -8) = 0

Reorder the terms:
(-6 + p)(-8 + p) = 0

Multiply (-6 + p) * (-8 + p)
(-6(-8 + p) + p(-8 + p)) = 0
((-8 * -6 + p * -6) + p(-8 + p)) = 0
((48 + -6p) + p(-8 + p)) = 0
(48 + -6p + (-8 * p + p * p)) = 0
(48 + -6p + (-8p + p2)) = 0

Combine like terms: -6p + -8p = -14p
(48 + -14p + p2) = 0

Solving
48 + -14p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(6 + -1p)(8 + -1p) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(8 + -1p)' equal to zero and attempt to solve:

Simplifying
8 + -1p = 0

Solving
8 + -1p = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1p = 0 + -8
-1p = 0 + -8

Combine like terms: 0 + -8 = -8
-1p = -8

Divide each side by '-1'.
p = 8

Simplifying
p = 8
Solution
p = {6, 8}