(3a-6)(2a+4)=0

Solution for (3a-6)(2a+4)=0 equation:

Simplifying
(3a + -6)(2a + 4) = 0

Reorder the terms:
(-6 + 3a)(2a + 4) = 0

Reorder the terms:
(-6 + 3a)(4 + 2a) = 0

Multiply (-6 + 3a) * (4 + 2a)
(-6(4 + 2a) + 3a * (4 + 2a)) = 0
((4 * -6 + 2a * -6) + 3a * (4 + 2a)) = 0
((-24 + -12a) + 3a * (4 + 2a)) = 0
(-24 + -12a + (4 * 3a + 2a * 3a)) = 0
(-24 + -12a + (12a + 6a2)) = 0

Combine like terms: -12a + 12a = 0
(-24 + 0 + 6a2) = 0
(-24 + 6a2) = 0

Solving
-24 + 6a2 = 0

Solving for variable 'a'.

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

Add '24' to each side of the equation.
-24 + 24 + 6a2 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 6a2 = 0 + 24
6a2 = 0 + 24

Combine like terms: 0 + 24 = 24
6a2 = 24

Divide each side by '6'.
a2 = 4

Simplifying
a2 = 4

Take the square root of each side:
a = {-2, 2}