(3v+4)(3v-4)=

Solution for (3v+4)(3v-4)= equation:

Simplifying
(3v + 4)(3v + -4) = 0

Reorder the terms:
(4 + 3v)(3v + -4) = 0

Reorder the terms:
(4 + 3v)(-4 + 3v) = 0

Multiply (4 + 3v) * (-4 + 3v)
(4(-4 + 3v) + 3v * (-4 + 3v)) = 0
((-4 * 4 + 3v * 4) + 3v * (-4 + 3v)) = 0
((-16 + 12v) + 3v * (-4 + 3v)) = 0
(-16 + 12v + (-4 * 3v + 3v * 3v)) = 0
(-16 + 12v + (-12v + 9v2)) = 0

Combine like terms: 12v + -12v = 0
(-16 + 0 + 9v2) = 0
(-16 + 9v2) = 0

Solving
-16 + 9v2 = 0

Solving for variable 'v'.

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

Add '16' to each side of the equation.
-16 + 16 + 9v2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 9v2 = 0 + 16
9v2 = 0 + 16

Combine like terms: 0 + 16 = 16
9v2 = 16

Divide each side by '9'.
v2 = 1.777777778

Simplifying
v2 = 1.777777778

Take the square root of each side:
v = {-1.333333333, 1.333333333}