(6a-6)(-2a-4a-8)=

Solution for (6a-6)(-2a-4a-8)= equation:

Simplifying
(6a + -6)(-2a + -4a + -8) = 0

Reorder the terms:
(-6 + 6a)(-2a + -4a + -8) = 0

Reorder the terms:
(-6 + 6a)(-8 + -2a + -4a) = 0

Combine like terms: -2a + -4a = -6a
(-6 + 6a)(-8 + -6a) = 0

Multiply (-6 + 6a) * (-8 + -6a)
(-6(-8 + -6a) + 6a * (-8 + -6a)) = 0
((-8 * -6 + -6a * -6) + 6a * (-8 + -6a)) = 0
((48 + 36a) + 6a * (-8 + -6a)) = 0
(48 + 36a + (-8 * 6a + -6a * 6a)) = 0
(48 + 36a + (-48a + -36a2)) = 0

Combine like terms: 36a + -48a = -12a
(48 + -12a + -36a2) = 0

Solving
48 + -12a + -36a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '12'.
12(4 + -1a + -3a2) = 0

Factor a trinomial.
12((1 + -1a)(4 + 3a)) = 0

Ignore the factor 12.
Subproblem 1
Set the factor '(1 + -1a)' equal to zero and attempt to solve:

Simplifying
1 + -1a = 0

Solving
1 + -1a = 0

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

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

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

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

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

Simplifying
a = 1
Subproblem 2
Set the factor '(4 + 3a)' equal to zero and attempt to solve:

Simplifying
4 + 3a = 0

Solving
4 + 3a = 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 + 3a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3a = 0 + -4
3a = 0 + -4

Combine like terms: 0 + -4 = -4
3a = -4

Divide each side by '3'.
a = -1.333333333

Simplifying
a = -1.333333333
Solution
a = {1, -1.333333333}