(t-2)3-(t-2)=0

Solution for (t-2)3-(t-2)=0 equation:

Simplifying
(t + -2) * 3 + -1(t + -2) = 0

Reorder the terms:
(-2 + t) * 3 + -1(t + -2) = 0

Reorder the terms for easier multiplication:
3(-2 + t) + -1(t + -2) = 0
(-2 * 3 + t * 3) + -1(t + -2) = 0
(-6 + 3t) + -1(t + -2) = 0

Reorder the terms:
-6 + 3t + -1(-2 + t) = 0
-6 + 3t + (-2 * -1 + t * -1) = 0
-6 + 3t + (2 + -1t) = 0

Reorder the terms:
-6 + 2 + 3t + -1t = 0

Combine like terms: -6 + 2 = -4
-4 + 3t + -1t = 0

Combine like terms: 3t + -1t = 2t
-4 + 2t = 0

Solving
-4 + 2t = 0

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 + 2t = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 2t = 0 + 4
2t = 0 + 4

Combine like terms: 0 + 4 = 4
2t = 4

Divide each side by '2'.
t = 2

Simplifying
t = 2