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

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

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

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

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

Multiply (-4 + 2b) * (6 + 3b)
(-4(6 + 3b) + 2b * (6 + 3b)) = 0
((6 * -4 + 3b * -4) + 2b * (6 + 3b)) = 0
((-24 + -12b) + 2b * (6 + 3b)) = 0
(-24 + -12b + (6 * 2b + 3b * 2b)) = 0
(-24 + -12b + (12b + 6b2)) = 0

Combine like terms: -12b + 12b = 0
(-24 + 0 + 6b2) = 0
(-24 + 6b2) = 0

Solving
-24 + 6b2 = 0

Solving for variable 'b'.

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

Add '24' to each side of the equation.
-24 + 24 + 6b2 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 6b2 = 0 + 24
6b2 = 0 + 24

Combine like terms: 0 + 24 = 24
6b2 = 24

Divide each side by '6'.
b2 = 4

Simplifying
b2 = 4

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