(2v+6)(2v-6)=

Solution for (2v+6)(2v-6)= equation:

Simplifying
(2v + 6)(2v + -6) = 0

Reorder the terms:
(6 + 2v)(2v + -6) = 0

Reorder the terms:
(6 + 2v)(-6 + 2v) = 0

Multiply (6 + 2v) * (-6 + 2v)
(6(-6 + 2v) + 2v * (-6 + 2v)) = 0
((-6 * 6 + 2v * 6) + 2v * (-6 + 2v)) = 0
((-36 + 12v) + 2v * (-6 + 2v)) = 0
(-36 + 12v + (-6 * 2v + 2v * 2v)) = 0
(-36 + 12v + (-12v + 4v2)) = 0

Combine like terms: 12v + -12v = 0
(-36 + 0 + 4v2) = 0
(-36 + 4v2) = 0

Solving
-36 + 4v2 = 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 + 4v2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 4v2 = 0 + 36
4v2 = 0 + 36

Combine like terms: 0 + 36 = 36
4v2 = 36

Divide each side by '4'.
v2 = 9

Simplifying
v2 = 9

Take the square root of each side:
v = {-3, 3}