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

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

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

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

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

Multiply (-4 + 2x) * (6 + 3x)
(-4(6 + 3x) + 2x * (6 + 3x)) = 0
((6 * -4 + 3x * -4) + 2x * (6 + 3x)) = 0
((-24 + -12x) + 2x * (6 + 3x)) = 0
(-24 + -12x + (6 * 2x + 3x * 2x)) = 0
(-24 + -12x + (12x + 6x2)) = 0

Combine like terms: -12x + 12x = 0
(-24 + 0 + 6x2) = 0
(-24 + 6x2) = 0

Solving
-24 + 6x2 = 0

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 6x2 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 6x2 = 0 + 24
6x2 = 0 + 24

Combine like terms: 0 + 24 = 24
6x2 = 24

Divide each side by '6'.
x2 = 4

Simplifying
x2 = 4

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