(a+1)(a-1)=

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

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

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

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

Multiply (1 + a) * (-1 + a)
(1(-1 + a) + a(-1 + a)) = 0
((-1 * 1 + a * 1) + a(-1 + a)) = 0
((-1 + 1a) + a(-1 + a)) = 0
(-1 + 1a + (-1 * a + a * a)) = 0
(-1 + 1a + (-1a + a2)) = 0

Combine like terms: 1a + -1a = 0
(-1 + 0 + a2) = 0
(-1 + a2) = 0

Solving
-1 + a2 = 0

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 1 + a2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + a2 = 0 + 1
a2 = 0 + 1

Combine like terms: 0 + 1 = 1
a2 = 1

Simplifying
a2 = 1

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