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

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

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

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

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

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

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

Solving
9a2 + -4b2 = 0

Solving for variable 'a'.

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

Add '4b2' to each side of the equation.
9a2 + -4b2 + 4b2 = 0 + 4b2

Combine like terms: -4b2 + 4b2 = 0
9a2 + 0 = 0 + 4b2
9a2 = 0 + 4b2
Remove the zero:
9a2 = 4b2

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

Simplifying
a2 = 0.4444444444b2

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