(a+6b)(a-6b)=

Solution for (a+6b)(a-6b)= equation:

Simplifying
(a + 6b)(a + -6b) = 0

Multiply (a + 6b) * (a + -6b)
(a(a + -6b) + 6b * (a + -6b)) = 0
((a * a + -6b * a) + 6b * (a + -6b)) = 0

Reorder the terms:
((-6ab + a2) + 6b * (a + -6b)) = 0
((-6ab + a2) + 6b * (a + -6b)) = 0
(-6ab + a2 + (a * 6b + -6b * 6b)) = 0
(-6ab + a2 + (6ab + -36b2)) = 0

Reorder the terms:
(-6ab + 6ab + a2 + -36b2) = 0

Combine like terms: -6ab + 6ab = 0
(0 + a2 + -36b2) = 0
(a2 + -36b2) = 0

Solving
a2 + -36b2 = 0

Solving for variable 'a'.

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

Add '36b2' to each side of the equation.
a2 + -36b2 + 36b2 = 0 + 36b2

Combine like terms: -36b2 + 36b2 = 0
a2 + 0 = 0 + 36b2
a2 = 0 + 36b2
Remove the zero:
a2 = 36b2

Simplifying
a2 = 36b2

Take the square root of each side:
a = {-6b, 6b}