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

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

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

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

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

Multiply (6 + 3f) * (-4 + 2f)
(6(-4 + 2f) + 3f * (-4 + 2f)) = 0
((-4 * 6 + 2f * 6) + 3f * (-4 + 2f)) = 0
((-24 + 12f) + 3f * (-4 + 2f)) = 0
(-24 + 12f + (-4 * 3f + 2f * 3f)) = 0
(-24 + 12f + (-12f + 6f2)) = 0

Combine like terms: 12f + -12f = 0
(-24 + 0 + 6f2) = 0
(-24 + 6f2) = 0

Solving
-24 + 6f2 = 0

Solving for variable 'f'.

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

Add '24' to each side of the equation.
-24 + 24 + 6f2 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 6f2 = 0 + 24
6f2 = 0 + 24

Combine like terms: 0 + 24 = 24
6f2 = 24

Divide each side by '6'.
f2 = 4

Simplifying
f2 = 4

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