(3a-2)*(3a+2)=

Solution for (3a-2)*(3a+2)= equation:

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

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

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

Multiply (-2 + 3a) * (2 + 3a)
(-2(2 + 3a) + 3a * (2 + 3a)) = 0
((2 * -2 + 3a * -2) + 3a * (2 + 3a)) = 0
((-4 + -6a) + 3a * (2 + 3a)) = 0
(-4 + -6a + (2 * 3a + 3a * 3a)) = 0
(-4 + -6a + (6a + 9a2)) = 0

Combine like terms: -6a + 6a = 0
(-4 + 0 + 9a2) = 0
(-4 + 9a2) = 0

Solving
-4 + 9a2 = 0

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + 4 + 9a2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 9a2 = 0 + 4
9a2 = 0 + 4

Combine like terms: 0 + 4 = 4
9a2 = 4

Divide each side by '9'.
a2 = 0.4444444444

Simplifying
a2 = 0.4444444444

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