(4x+8)(3x-6)=0

Solution for (4x+8)(3x-6)=0 equation:

Simplifying
(4x + 8)(3x + -6) = 0

Reorder the terms:
(8 + 4x)(3x + -6) = 0

Reorder the terms:
(8 + 4x)(-6 + 3x) = 0

Multiply (8 + 4x) * (-6 + 3x)
(8(-6 + 3x) + 4x * (-6 + 3x)) = 0
((-6 * 8 + 3x * 8) + 4x * (-6 + 3x)) = 0
((-48 + 24x) + 4x * (-6 + 3x)) = 0
(-48 + 24x + (-6 * 4x + 3x * 4x)) = 0
(-48 + 24x + (-24x + 12x2)) = 0

Combine like terms: 24x + -24x = 0
(-48 + 0 + 12x2) = 0
(-48 + 12x2) = 0

Solving
-48 + 12x2 = 0

Solving for variable 'x'.

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

Add '48' to each side of the equation.
-48 + 48 + 12x2 = 0 + 48

Combine like terms: -48 + 48 = 0
0 + 12x2 = 0 + 48
12x2 = 0 + 48

Combine like terms: 0 + 48 = 48
12x2 = 48

Divide each side by '12'.
x2 = 4

Simplifying
x2 = 4

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