S(t)=t^4-8t^2

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Solution for S(t)=t^4-8t^2 equation: 


Simplifying
S(t) = t4 + -8t2

Multiply S * t
tS = t4 + -8t2

Reorder the terms:
tS = -8t2 + t4

Solving
tS = -8t2 + t4

Solving for variable 't'.

Reorder the terms:
tS + 8t2 + -1t4 = -8t2 + 8t2 + t4 + -1t4

Combine like terms: -8t2 + 8t2 = 0
tS + 8t2 + -1t4 = 0 + t4 + -1t4
tS + 8t2 + -1t4 = t4 + -1t4

Combine like terms: t4 + -1t4 = 0
tS + 8t2 + -1t4 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(S + 8t + -1t3) = 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 '(S + 8t + -1t3)' equal to zero and attempt to solve:

Simplifying
S + 8t + -1t3 = 0

Solving
S + 8t + -1t3 = 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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