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

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

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

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

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

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

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

Solving
-25 + 25w2 = 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 + 25w2 = 0 + 25

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

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

Divide each side by '25'.
w2 = 1

Simplifying
w2 = 1

Take the square root of each side:
w = {-1, 1}