T(t)=5t^4-2t^3+2t

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Solution for T(t)=5t^4-2t^3+2t equation: 


Simplifying
T(t) = 5t4 + -2t3 + 2t

Multiply T * t
tT = 5t4 + -2t3 + 2t

Reorder the terms:
tT = 2t + -2t3 + 5t4

Solving
tT = 2t + -2t3 + 5t4

Solving for variable 't'.

Reorder the terms:
-2t + tT + 2t3 + -5t4 = 2t + -2t3 + 5t4 + -2t + 2t3 + -5t4

Reorder the terms:
-2t + tT + 2t3 + -5t4 = 2t + -2t + -2t3 + 2t3 + 5t4 + -5t4

Combine like terms: 2t + -2t = 0
-2t + tT + 2t3 + -5t4 = 0 + -2t3 + 2t3 + 5t4 + -5t4
-2t + tT + 2t3 + -5t4 = -2t3 + 2t3 + 5t4 + -5t4

Combine like terms: -2t3 + 2t3 = 0
-2t + tT + 2t3 + -5t4 = 0 + 5t4 + -5t4
-2t + tT + 2t3 + -5t4 = 5t4 + -5t4

Combine like terms: 5t4 + -5t4 = 0
-2t + tT + 2t3 + -5t4 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-2 + T + 2t2 + -5t3) = 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 '(-2 + T + 2t2 + -5t3)' equal to zero and attempt to solve:

Simplifying
-2 + T + 2t2 + -5t3 = 0

Solving
-2 + T + 2t2 + -5t3 = 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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