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

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

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

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

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

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

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

Solving
-6a2 + 6b2 = 0

Solving for variable 'a'.

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

Add '-6b2' to each side of the equation.
-6a2 + 6b2 + -6b2 = 0 + -6b2

Combine like terms: 6b2 + -6b2 = 0
-6a2 + 0 = 0 + -6b2
-6a2 = 0 + -6b2
Remove the zero:
-6a2 = -6b2

Divide each side by '-6'.
a2 = b2

Simplifying
a2 = b2

Take the square root of each side:
a = {-1b, b}