(R-1)(R+1)=0

Solution for (R-1)(R+1)=0 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}