(9v-4)(9v+4)=0

Solution for (9v-4)(9v+4)=0 equation:

Simplifying
(9v + -4)(9v + 4) = 0

Reorder the terms:
(-4 + 9v)(9v + 4) = 0

Reorder the terms:
(-4 + 9v)(4 + 9v) = 0

Multiply (-4 + 9v) * (4 + 9v)
(-4(4 + 9v) + 9v * (4 + 9v)) = 0
((4 * -4 + 9v * -4) + 9v * (4 + 9v)) = 0
((-16 + -36v) + 9v * (4 + 9v)) = 0
(-16 + -36v + (4 * 9v + 9v * 9v)) = 0
(-16 + -36v + (36v + 81v2)) = 0

Combine like terms: -36v + 36v = 0
(-16 + 0 + 81v2) = 0
(-16 + 81v2) = 0

Solving
-16 + 81v2 = 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 + 81v2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 81v2 = 0 + 16
81v2 = 0 + 16

Combine like terms: 0 + 16 = 16
81v2 = 16

Divide each side by '81'.
v2 = 0.1975308642

Simplifying
v2 = 0.1975308642

Take the square root of each side:
v = {-0.444444444, 0.444444444}