x(t)=6t^2-t^3

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Solution for x(t)=6t^2-t^3 equation: 


Simplifying
x(t) = 6t2 + -1t3

Multiply x * t
tx = 6t2 + -1t3

Solving
tx = 6t2 + -1t3

Solving for variable 't'.

Reorder the terms:
tx + -6t2 + t3 = 6t2 + -6t2 + -1t3 + t3

Combine like terms: 6t2 + -6t2 = 0
tx + -6t2 + t3 = 0 + -1t3 + t3
tx + -6t2 + t3 = -1t3 + t3

Combine like terms: -1t3 + t3 = 0
tx + -6t2 + t3 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(x + -6t + t2) = 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 '(x + -6t + t2)' equal to zero and attempt to solve:

Simplifying
x + -6t + t2 = 0

Reorder the terms:
-6t + t2 + x = 0

Solving
-6t + t2 + x = 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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