(r+1)(r-1)=

Solution for (r+1)(r-1)= equation:

Simplifying
(r + 1)(r + -1) = 0

Reorder the terms:
(1 + r)(r + -1) = 0

Reorder the terms:
(1 + r)(-1 + r) = 0

Multiply (1 + r) * (-1 + r)
(1(-1 + r) + r(-1 + r)) = 0
((-1 * 1 + r * 1) + r(-1 + r)) = 0
((-1 + 1r) + r(-1 + r)) = 0
(-1 + 1r + (-1 * r + r * r)) = 0
(-1 + 1r + (-1r + r2)) = 0

Combine like terms: 1r + -1r = 0
(-1 + 0 + r2) = 0
(-1 + r2) = 0

Solving
-1 + r2 = 0

Solving for variable 'r'.

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

Add '1' to each side of the equation.
-1 + 1 + r2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + r2 = 0 + 1
r2 = 0 + 1

Combine like terms: 0 + 1 = 1
r2 = 1

Simplifying
r2 = 1

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