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

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

Simplifying
(2a + b)(2a + -1b) = 0

Multiply (2a + b) * (2a + -1b)
(2a * (2a + -1b) + b(2a + -1b)) = 0
((2a * 2a + -1b * 2a) + b(2a + -1b)) = 0

Reorder the terms:
((-2ab + 4a2) + b(2a + -1b)) = 0
((-2ab + 4a2) + b(2a + -1b)) = 0
(-2ab + 4a2 + (2a * b + -1b * b)) = 0
(-2ab + 4a2 + (2ab + -1b2)) = 0

Reorder the terms:
(-2ab + 2ab + 4a2 + -1b2) = 0

Combine like terms: -2ab + 2ab = 0
(0 + 4a2 + -1b2) = 0
(4a2 + -1b2) = 0

Solving
4a2 + -1b2 = 0

Solving for variable 'a'.

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

Add 'b2' to each side of the equation.
4a2 + -1b2 + b2 = 0 + b2

Combine like terms: -1b2 + b2 = 0
4a2 + 0 = 0 + b2
4a2 = 0 + b2
Remove the zero:
4a2 = b2

Divide each side by '4'.
a2 = 0.25b2

Simplifying
a2 = 0.25b2

Take the square root of each side:
a = {-0.5b, 0.5b}