(a-6)(a+6)=

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

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

Reorder the terms:
(-6 + a)(a + 6) = 0

Reorder the terms:
(-6 + a)(6 + a) = 0

Multiply (-6 + a) * (6 + a)
(-6(6 + a) + a(6 + a)) = 0
((6 * -6 + a * -6) + a(6 + a)) = 0
((-36 + -6a) + a(6 + a)) = 0
(-36 + -6a + (6 * a + a * a)) = 0
(-36 + -6a + (6a + a2)) = 0

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

Solving
-36 + a2 = 0

Solving for variable 'a'.

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

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

Combine like terms: -36 + 36 = 0
0 + a2 = 0 + 36
a2 = 0 + 36

Combine like terms: 0 + 36 = 36
a2 = 36

Simplifying
a2 = 36

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