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

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

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

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

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

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

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

Solving
4a2 + -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.
4a2 + -4b2 + 4b2 = 0 + 4b2

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

Divide each side by '4'.
a2 = b2

Simplifying
a2 = b2

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