(4v+6)(4v-6)=0

Solution for (4v+6)(4v-6)=0 equation:

Simplifying
(4v + 6)(4v + -6) = 0

Reorder the terms:
(6 + 4v)(4v + -6) = 0

Reorder the terms:
(6 + 4v)(-6 + 4v) = 0

Multiply (6 + 4v) * (-6 + 4v)
(6(-6 + 4v) + 4v * (-6 + 4v)) = 0
((-6 * 6 + 4v * 6) + 4v * (-6 + 4v)) = 0
((-36 + 24v) + 4v * (-6 + 4v)) = 0
(-36 + 24v + (-6 * 4v + 4v * 4v)) = 0
(-36 + 24v + (-24v + 16v2)) = 0

Combine like terms: 24v + -24v = 0
(-36 + 0 + 16v2) = 0
(-36 + 16v2) = 0

Solving
-36 + 16v2 = 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 + 16v2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 16v2 = 0 + 36
16v2 = 0 + 36

Combine like terms: 0 + 36 = 36
16v2 = 36

Divide each side by '16'.
v2 = 2.25

Simplifying
v2 = 2.25

Take the square root of each side:
v = {-1.5, 1.5}