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

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


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

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

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

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

Multiply (-2 + t) * (-2 + t)
(-2(-2 + t) + t(-2 + t))(-2 + t) + -1(t + -2) = 0
((-2 * -2 + t * -2) + t(-2 + t))(-2 + t) + -1(t + -2) = 0
((4 + -2t) + t(-2 + t))(-2 + t) + -1(t + -2) = 0
(4 + -2t + (-2 * t + t * t))(-2 + t) + -1(t + -2) = 0
(4 + -2t + (-2t + t2))(-2 + t) + -1(t + -2) = 0

Combine like terms: -2t + -2t = -4t
(4 + -4t + t2)(-2 + t) + -1(t + -2) = 0

Multiply (4 + -4t + t2) * (-2 + t)
(4(-2 + t) + -4t * (-2 + t) + t2(-2 + t)) + -1(t + -2) = 0
((-2 * 4 + t * 4) + -4t * (-2 + t) + t2(-2 + t)) + -1(t + -2) = 0
((-8 + 4t) + -4t * (-2 + t) + t2(-2 + t)) + -1(t + -2) = 0
(-8 + 4t + (-2 * -4t + t * -4t) + t2(-2 + t)) + -1(t + -2) = 0
(-8 + 4t + (8t + -4t2) + t2(-2 + t)) + -1(t + -2) = 0
(-8 + 4t + 8t + -4t2 + (-2 * t2 + t * t2)) + -1(t + -2) = 0
(-8 + 4t + 8t + -4t2 + (-2t2 + t3)) + -1(t + -2) = 0

Combine like terms: 4t + 8t = 12t
(-8 + 12t + -4t2 + -2t2 + t3) + -1(t + -2) = 0

Combine like terms: -4t2 + -2t2 = -6t2
(-8 + 12t + -6t2 + t3) + -1(t + -2) = 0

Reorder the terms:
-8 + 12t + -6t2 + t3 + -1(-2 + t) = 0
-8 + 12t + -6t2 + t3 + (-2 * -1 + t * -1) = 0
-8 + 12t + -6t2 + t3 + (2 + -1t) = 0

Reorder the terms:
-8 + 2 + 12t + -1t + -6t2 + t3 = 0

Combine like terms: -8 + 2 = -6
-6 + 12t + -1t + -6t2 + t3 = 0

Combine like terms: 12t + -1t = 11t
-6 + 11t + -6t2 + t3 = 0

Solving
-6 + 11t + -6t2 + t3 = 0

Solving for variable 't'.

The solution to this equation could not be determined.

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