F(t)=t^3-4t^2+4t

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


Simplifying
F(t) = t3 + -4t2 + 4t

Multiply F * t
tF = t3 + -4t2 + 4t

Reorder the terms:
tF = 4t + -4t2 + t3

Solving
tF = 4t + -4t2 + t3

Solving for variable 't'.

Reorder the terms:
-4t + tF + 4t2 + -1t3 = 4t + -4t2 + t3 + -4t + 4t2 + -1t3

Reorder the terms:
-4t + tF + 4t2 + -1t3 = 4t + -4t + -4t2 + 4t2 + t3 + -1t3

Combine like terms: 4t + -4t = 0
-4t + tF + 4t2 + -1t3 = 0 + -4t2 + 4t2 + t3 + -1t3
-4t + tF + 4t2 + -1t3 = -4t2 + 4t2 + t3 + -1t3

Combine like terms: -4t2 + 4t2 = 0
-4t + tF + 4t2 + -1t3 = 0 + t3 + -1t3
-4t + tF + 4t2 + -1t3 = t3 + -1t3

Combine like terms: t3 + -1t3 = 0
-4t + tF + 4t2 + -1t3 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-4 + F + 4t + -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 '(-4 + F + 4t + -1t2)' equal to zero and attempt to solve: Simplifying -4 + F + 4t + -1t2 = 0 Solving -4 + F + 4t + -1t2 = 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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