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

Solution for (6v+3)(6v-3)=0 equation:

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

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

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

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

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

Solving
-9 + 36v2 = 0

Solving for variable 'v'.

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

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

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

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

Divide each side by '36'.
v2 = 0.25

Simplifying
v2 = 0.25

Take the square root of each side:
v = {-0.5, 0.5}