(t-1)(t+1)=0

Solution for (t-1)(t+1)=0 equation:

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

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

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

Multiply (-1 + t) * (1 + t)
(-1(1 + t) + t(1 + t)) = 0
((1 * -1 + t * -1) + t(1 + t)) = 0
((-1 + -1t) + t(1 + t)) = 0
(-1 + -1t + (1 * t + t * t)) = 0
(-1 + -1t + (1t + t2)) = 0

Combine like terms: -1t + 1t = 0
(-1 + 0 + t2) = 0
(-1 + t2) = 0

Solving
-1 + t2 = 0

Solving for variable 't'.

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

Add '1' to each side of the equation.
-1 + 1 + t2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + t2 = 0 + 1
t2 = 0 + 1

Combine like terms: 0 + 1 = 1
t2 = 1

Simplifying
t2 = 1

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