(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}