(3u+2)(3u-2)=0

Solution for (3u+2)(3u-2)=0 equation:

Simplifying
(3u + 2)(3u + -2) = 0

Reorder the terms:
(2 + 3u)(3u + -2) = 0

Reorder the terms:
(2 + 3u)(-2 + 3u) = 0

Multiply (2 + 3u) * (-2 + 3u)
(2(-2 + 3u) + 3u * (-2 + 3u)) = 0
((-2 * 2 + 3u * 2) + 3u * (-2 + 3u)) = 0
((-4 + 6u) + 3u * (-2 + 3u)) = 0
(-4 + 6u + (-2 * 3u + 3u * 3u)) = 0
(-4 + 6u + (-6u + 9u2)) = 0

Combine like terms: 6u + -6u = 0
(-4 + 0 + 9u2) = 0
(-4 + 9u2) = 0

Solving
-4 + 9u2 = 0

Solving for variable 'u'.

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

Add '4' to each side of the equation.
-4 + 4 + 9u2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 9u2 = 0 + 4
9u2 = 0 + 4

Combine like terms: 0 + 4 = 4
9u2 = 4

Divide each side by '9'.
u2 = 0.4444444444

Simplifying
u2 = 0.4444444444

Take the square root of each side:
u = {-0.666666667, 0.666666667}