(w+1)(w-1)=15

Solution for (w+1)(w-1)=15 equation:

Simplifying
(w + 1)(w + -1) = 15

Reorder the terms:
(1 + w)(w + -1) = 15

Reorder the terms:
(1 + w)(-1 + w) = 15

Multiply (1 + w) * (-1 + w)
(1(-1 + w) + w(-1 + w)) = 15
((-1 * 1 + w * 1) + w(-1 + w)) = 15
((-1 + 1w) + w(-1 + w)) = 15
(-1 + 1w + (-1 * w + w * w)) = 15
(-1 + 1w + (-1w + w2)) = 15

Combine like terms: 1w + -1w = 0
(-1 + 0 + w2) = 15
(-1 + w2) = 15

Solving
-1 + w2 = 15

Solving for variable 'w'.

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

Add '1' to each side of the equation.
-1 + 1 + w2 = 15 + 1

Combine like terms: -1 + 1 = 0
0 + w2 = 15 + 1
w2 = 15 + 1

Combine like terms: 15 + 1 = 16
w2 = 16

Simplifying
w2 = 16

Take the square root of each side:
w = {-4, 4}