(w-5)(w+5)=0

Solution for (w-5)(w+5)=0 equation:

Simplifying
(w + -5)(w + 5) = 0

Reorder the terms:
(-5 + w)(w + 5) = 0

Reorder the terms:
(-5 + w)(5 + w) = 0

Multiply (-5 + w) * (5 + w)
(-5(5 + w) + w(5 + w)) = 0
((5 * -5 + w * -5) + w(5 + w)) = 0
((-25 + -5w) + w(5 + w)) = 0
(-25 + -5w + (5 * w + w * w)) = 0
(-25 + -5w + (5w + w2)) = 0

Combine like terms: -5w + 5w = 0
(-25 + 0 + w2) = 0
(-25 + w2) = 0

Solving
-25 + w2 = 0

Solving for variable 'w'.

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

Add '25' to each side of the equation.
-25 + 25 + w2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + w2 = 0 + 25
w2 = 0 + 25

Combine like terms: 0 + 25 = 25
w2 = 25

Simplifying
w2 = 25

Take the square root of each side:
w = {-5, 5}