(3a+2b)x(3a-2b)=

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

Simplifying
(3a + 2b) * x(3a + -2b) = 0

Reorder the terms for easier multiplication:
x(3a + 2b)(3a + -2b) = 0

Multiply (3a + 2b) * (3a + -2b)
x(3a * (3a + -2b) + 2b * (3a + -2b)) = 0
x((3a * 3a + -2b * 3a) + 2b * (3a + -2b)) = 0

Reorder the terms:
x((-6ab + 9a2) + 2b * (3a + -2b)) = 0
x((-6ab + 9a2) + 2b * (3a + -2b)) = 0
x(-6ab + 9a2 + (3a * 2b + -2b * 2b)) = 0
x(-6ab + 9a2 + (6ab + -4b2)) = 0

Reorder the terms:
x(-6ab + 6ab + 9a2 + -4b2) = 0

Combine like terms: -6ab + 6ab = 0
x(0 + 9a2 + -4b2) = 0
x(9a2 + -4b2) = 0
(9a2 * x + -4b2 * x) = 0
(9a2x + -4b2x) = 0

Solving
9a2x + -4b2x = 0

Solving for variable 'a'.

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

Add '4b2x' to each side of the equation.
9a2x + -4b2x + 4b2x = 0 + 4b2x

Combine like terms: -4b2x + 4b2x = 0
9a2x + 0 = 0 + 4b2x
9a2x = 0 + 4b2x
Remove the zero:
9a2x = 4b2x

Divide each side by '9x'.
a2 = 0.4444444444b2

Simplifying
a2 = 0.4444444444b2

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