v(t)=t^3-8t^2+12t

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Solution for v(t)=t^3-8t^2+12t equation: 


Simplifying
v(t) = t3 + -8t2 + 12t

Multiply v * t
tv = t3 + -8t2 + 12t

Reorder the terms:
tv = 12t + -8t2 + t3

Solving
tv = 12t + -8t2 + t3

Solving for variable 't'.

Reorder the terms:
-12t + tv + 8t2 + -1t3 = 12t + -8t2 + t3 + -12t + 8t2 + -1t3

Reorder the terms:
-12t + tv + 8t2 + -1t3 = 12t + -12t + -8t2 + 8t2 + t3 + -1t3

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

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

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

Factor out the Greatest Common Factor (GCF), 't'.
t(-12 + v + 8t + -1t2) = 0


Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0

Subproblem 2
Set the factor '(-12 + v + 8t + -1t2)' equal to zero and attempt to solve:

Simplifying
-12 + v + 8t + -1t2 = 0

Reorder the terms:
-12 + 8t + -1t2 + v = 0

Solving
-12 + 8t + -1t2 + v = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
t = {0}

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