(t+2)(t-2)=-3

Solution for (t+2)(t-2)=-3 equation:

Simplifying
(t + 2)(t + -2) = -3

Reorder the terms:
(2 + t)(t + -2) = -3

Reorder the terms:
(2 + t)(-2 + t) = -3

Multiply (2 + t) * (-2 + t)
(2(-2 + t) + t(-2 + t)) = -3
((-2 * 2 + t * 2) + t(-2 + t)) = -3
((-4 + 2t) + t(-2 + t)) = -3
(-4 + 2t + (-2 * t + t * t)) = -3
(-4 + 2t + (-2t + t2)) = -3

Combine like terms: 2t + -2t = 0
(-4 + 0 + t2) = -3
(-4 + t2) = -3

Solving
-4 + t2 = -3

Solving for variable 't'.

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

Add '4' to each side of the equation.
-4 + 4 + t2 = -3 + 4

Combine like terms: -4 + 4 = 0
0 + t2 = -3 + 4
t2 = -3 + 4

Combine like terms: -3 + 4 = 1
t2 = 1

Simplifying
t2 = 1

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