(8a-b)(8a+b)=

Solution for (8a-b)(8a+b)= equation:

Simplifying
(8a + -1b)(8a + b) = 0

Multiply (8a + -1b) * (8a + b)
(8a * (8a + b) + -1b * (8a + b)) = 0
((8a * 8a + b * 8a) + -1b * (8a + b)) = 0

Reorder the terms:
((8ab + 64a2) + -1b * (8a + b)) = 0
((8ab + 64a2) + -1b * (8a + b)) = 0
(8ab + 64a2 + (8a * -1b + b * -1b)) = 0
(8ab + 64a2 + (-8ab + -1b2)) = 0

Reorder the terms:
(8ab + -8ab + 64a2 + -1b2) = 0

Combine like terms: 8ab + -8ab = 0
(0 + 64a2 + -1b2) = 0
(64a2 + -1b2) = 0

Solving
64a2 + -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.
64a2 + -1b2 + b2 = 0 + b2

Combine like terms: -1b2 + b2 = 0
64a2 + 0 = 0 + b2
64a2 = 0 + b2
Remove the zero:
64a2 = b2

Divide each side by '64'.
a2 = 0.015625b2

Simplifying
a2 = 0.015625b2

Take the square root of each side:
a = {-0.125b, 0.125b}