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

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

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