F(t)=-3t^4+3t^2-2t+1

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Solution for F(t)=-3t^4+3t^2-2t+1 equation: 


Simplifying
F(t) = -3t4 + 3t2 + -2t + 1

Multiply F * t
tF = -3t4 + 3t2 + -2t + 1

Reorder the terms:
tF = 1 + -2t + 3t2 + -3t4

Solving
tF = 1 + -2t + 3t2 + -3t4

Solving for variable 't'.

Reorder the terms:
-1 + 2t + tF + -3t2 + 3t4 = 1 + -2t + 3t2 + -3t4 + -1 + 2t + -3t2 + 3t4

Reorder the terms:
-1 + 2t + tF + -3t2 + 3t4 = 1 + -1 + -2t + 2t + 3t2 + -3t2 + -3t4 + 3t4

Combine like terms: 1 + -1 = 0
-1 + 2t + tF + -3t2 + 3t4 = 0 + -2t + 2t + 3t2 + -3t2 + -3t4 + 3t4
-1 + 2t + tF + -3t2 + 3t4 = -2t + 2t + 3t2 + -3t2 + -3t4 + 3t4

Combine like terms: -2t + 2t = 0
-1 + 2t + tF + -3t2 + 3t4 = 0 + 3t2 + -3t2 + -3t4 + 3t4
-1 + 2t + tF + -3t2 + 3t4 = 3t2 + -3t2 + -3t4 + 3t4

Combine like terms: 3t2 + -3t2 = 0
-1 + 2t + tF + -3t2 + 3t4 = 0 + -3t4 + 3t4
-1 + 2t + tF + -3t2 + 3t4 = -3t4 + 3t4

Combine like terms: -3t4 + 3t4 = 0
-1 + 2t + tF + -3t2 + 3t4 = 0

The solution to this equation could not be determined.

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