(y-3)(y+3)=0

Solution for (y-3)(y+3)=0 equation:

Simplifying
(y + -3)(y + 3) = 0

Reorder the terms:
(-3 + y)(y + 3) = 0

Reorder the terms:
(-3 + y)(3 + y) = 0

Multiply (-3 + y) * (3 + y)
(-3(3 + y) + y(3 + y)) = 0
((3 * -3 + y * -3) + y(3 + y)) = 0
((-9 + -3y) + y(3 + y)) = 0
(-9 + -3y + (3 * y + y * y)) = 0
(-9 + -3y + (3y + y2)) = 0

Combine like terms: -3y + 3y = 0
(-9 + 0 + y2) = 0
(-9 + y2) = 0

Solving
-9 + y2 = 0

Solving for variable 'y'.

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

Add '9' to each side of the equation.
-9 + 9 + y2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + y2 = 0 + 9
y2 = 0 + 9

Combine like terms: 0 + 9 = 9
y2 = 9

Simplifying
y2 = 9

Take the square root of each side:
y = {-3, 3}