(3v+6)(3v-6)=

Solution for (3v+6)(3v-6)= equation:

Simplifying
(3v + 6)(3v + -6) = 0

Reorder the terms:
(6 + 3v)(3v + -6) = 0

Reorder the terms:
(6 + 3v)(-6 + 3v) = 0

Multiply (6 + 3v) * (-6 + 3v)
(6(-6 + 3v) + 3v * (-6 + 3v)) = 0
((-6 * 6 + 3v * 6) + 3v * (-6 + 3v)) = 0
((-36 + 18v) + 3v * (-6 + 3v)) = 0
(-36 + 18v + (-6 * 3v + 3v * 3v)) = 0
(-36 + 18v + (-18v + 9v2)) = 0

Combine like terms: 18v + -18v = 0
(-36 + 0 + 9v2) = 0
(-36 + 9v2) = 0

Solving
-36 + 9v2 = 0

Solving for variable 'v'.

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

Add '36' to each side of the equation.
-36 + 36 + 9v2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 9v2 = 0 + 36
9v2 = 0 + 36

Combine like terms: 0 + 36 = 36
9v2 = 36

Divide each side by '9'.
v2 = 4

Simplifying
v2 = 4

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