(y-6)(y+6)=0

Solution for (y-6)(y+6)=0 equation:

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

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

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

Multiply (-6 + y) * (6 + y)
(-6(6 + y) + y(6 + y)) = 0
((6 * -6 + y * -6) + y(6 + y)) = 0
((-36 + -6y) + y(6 + y)) = 0
(-36 + -6y + (6 * y + y * y)) = 0
(-36 + -6y + (6y + y2)) = 0

Combine like terms: -6y + 6y = 0
(-36 + 0 + y2) = 0
(-36 + y2) = 0

Solving
-36 + y2 = 0

Solving for variable 'y'.

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

Add '36' to each side of the equation.
-36 + 36 + y2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + y2 = 0 + 36
y2 = 0 + 36

Combine like terms: 0 + 36 = 36
y2 = 36

Simplifying
y2 = 36

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