(w-3)(w+3)=0

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

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

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

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

Multiply (-3 + w) * (3 + w)
(-3(3 + w) + w(3 + w)) = 0
((3 * -3 + w * -3) + w(3 + w)) = 0
((-9 + -3w) + w(3 + w)) = 0
(-9 + -3w + (3 * w + w * w)) = 0
(-9 + -3w + (3w + w2)) = 0

Combine like terms: -3w + 3w = 0
(-9 + 0 + w2) = 0
(-9 + w2) = 0

Solving
-9 + w2 = 0

Solving for variable 'w'.

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

Add '9' to each side of the equation.
-9 + 9 + w2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + w2 = 0 + 9
w2 = 0 + 9

Combine like terms: 0 + 9 = 9
w2 = 9

Simplifying
w2 = 9

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