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

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

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

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

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

Multiply (-4 + 2a) * (2 + 4a)
(-4(2 + 4a) + 2a * (2 + 4a)) = 0
((2 * -4 + 4a * -4) + 2a * (2 + 4a)) = 0
((-8 + -16a) + 2a * (2 + 4a)) = 0
(-8 + -16a + (2 * 2a + 4a * 2a)) = 0
(-8 + -16a + (4a + 8a2)) = 0

Combine like terms: -16a + 4a = -12a
(-8 + -12a + 8a2) = 0

Solving
-8 + -12a + 8a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + -3a + 2a2) = 0

Factor a trinomial.
4((-1 + -2a)(2 + -1a)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-1 + -2a)' equal to zero and attempt to solve:

Simplifying
-1 + -2a = 0

Solving
-1 + -2a = 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 + -2a = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2a = 0 + 1
-2a = 0 + 1

Combine like terms: 0 + 1 = 1
-2a = 1

Divide each side by '-2'.
a = -0.5

Simplifying
a = -0.5
Subproblem 2
Set the factor '(2 + -1a)' equal to zero and attempt to solve:

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = 0 + -2
-1a = 0 + -2

Combine like terms: 0 + -2 = -2
-1a = -2

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Solution
a = {-0.5, 2}