(a-8)(a-12)=

Solution for (a-8)(a-12)= equation:

Simplifying
(a + -8)(a + -12) = 0

Reorder the terms:
(-8 + a)(a + -12) = 0

Reorder the terms:
(-8 + a)(-12 + a) = 0

Multiply (-8 + a) * (-12 + a)
(-8(-12 + a) + a(-12 + a)) = 0
((-12 * -8 + a * -8) + a(-12 + a)) = 0
((96 + -8a) + a(-12 + a)) = 0
(96 + -8a + (-12 * a + a * a)) = 0
(96 + -8a + (-12a + a2)) = 0

Combine like terms: -8a + -12a = -20a
(96 + -20a + a2) = 0

Solving
96 + -20a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(8 + -1a)(12 + -1a) = 0

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

Simplifying
8 + -1a = 0

Solving
8 + -1a = 0

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

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

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

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

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

Simplifying
a = 8
Subproblem 2
Set the factor '(12 + -1a)' equal to zero and attempt to solve:

Simplifying
12 + -1a = 0

Solving
12 + -1a = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1a = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1a = 0 + -12
-1a = 0 + -12

Combine like terms: 0 + -12 = -12
-1a = -12

Divide each side by '-1'.
a = 12

Simplifying
a = 12
Solution
a = {8, 12}