(a-8)(a-4)=

Solution for (a-8)(a-4)= equation:

Simplifying
(a + -8)(a + -4) = 0

Reorder the terms:
(-8 + a)(a + -4) = 0

Reorder the terms:
(-8 + a)(-4 + a) = 0

Multiply (-8 + a) * (-4 + a)
(-8(-4 + a) + a(-4 + a)) = 0
((-4 * -8 + a * -8) + a(-4 + a)) = 0
((32 + -8a) + a(-4 + a)) = 0
(32 + -8a + (-4 * a + a * a)) = 0
(32 + -8a + (-4a + a2)) = 0

Combine like terms: -8a + -4a = -12a
(32 + -12a + a2) = 0

Solving
32 + -12a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(4 + -1a)(8 + -1a) = 0

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

Simplifying
4 + -1a = 0

Solving
4 + -1a = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1a = 0 + -4

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

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

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

Simplifying
a = 4
Subproblem 2
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
Solution
a = {4, 8}