(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 = 4a
(-32 + 4a + a2) = 0

Solving
-32 + 4a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-8 + -1a)(4 + -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 '(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
Solution
a = {-8, 4}