(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}