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

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

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

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

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

Multiply (2 + 8a) * (-4 + 4a)
(2(-4 + 4a) + 8a * (-4 + 4a)) = 0
((-4 * 2 + 4a * 2) + 8a * (-4 + 4a)) = 0
((-8 + 8a) + 8a * (-4 + 4a)) = 0
(-8 + 8a + (-4 * 8a + 4a * 8a)) = 0
(-8 + 8a + (-32a + 32a2)) = 0

Combine like terms: 8a + -32a = -24a
(-8 + -24a + 32a2) = 0

Solving
-8 + -24a + 32a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-1 + -3a + 4a2) = 0

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

Ignore the factor 8.
Subproblem 1
Set the factor '(-1 + -4a)' equal to zero and attempt to solve:

Simplifying
-1 + -4a = 0

Solving
-1 + -4a = 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 + -4a = 0 + 1

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

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

Divide each side by '-4'.
a = -0.25

Simplifying
a = -0.25
Subproblem 2
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
Solution
a = {-0.25, 1}