(t^4+8t^2-3)(3t^2-3t-3)=

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Solution for (t^4+8t^2-3)(3t^2-3t-3)= equation: 


Simplifying
(t4 + 8t2 + -3)(3t2 + -3t + -3) = 0

Reorder the terms:
(-3 + 8t2 + t4)(3t2 + -3t + -3) = 0

Reorder the terms:
(-3 + 8t2 + t4)(-3 + -3t + 3t2) = 0

Multiply (-3 + 8t2 + t4) * (-3 + -3t + 3t2)
(-3(-3 + -3t + 3t2) + 8t2 * (-3 + -3t + 3t2) + t4(-3 + -3t + 3t2)) = 0
((-3 * -3 + -3t * -3 + 3t2 * -3) + 8t2 * (-3 + -3t + 3t2) + t4(-3 + -3t + 3t2)) = 0
((9 + 9t + -9t2) + 8t2 * (-3 + -3t + 3t2) + t4(-3 + -3t + 3t2)) = 0
(9 + 9t + -9t2 + (-3 * 8t2 + -3t * 8t2 + 3t2 * 8t2) + t4(-3 + -3t + 3t2)) = 0
(9 + 9t + -9t2 + (-24t2 + -24t3 + 24t4) + t4(-3 + -3t + 3t2)) = 0
(9 + 9t + -9t2 + -24t2 + -24t3 + 24t4 + (-3 * t4 + -3t * t4 + 3t2 * t4)) = 0
(9 + 9t + -9t2 + -24t2 + -24t3 + 24t4 + (-3t4 + -3t5 + 3t6)) = 0

Combine like terms: -9t2 + -24t2 = -33t2
(9 + 9t + -33t2 + -24t3 + 24t4 + -3t4 + -3t5 + 3t6) = 0

Combine like terms: 24t4 + -3t4 = 21t4
(9 + 9t + -33t2 + -24t3 + 21t4 + -3t5 + 3t6) = 0

Solving
9 + 9t + -33t2 + -24t3 + 21t4 + -3t5 + 3t6 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '3'.
3(3 + 3t + -11t2 + -8t3 + 7t4 + -1t5 + t6) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(3 + 3t + -11t2 + -8t3 + 7t4 + -1t5 + t6)' equal to zero and attempt to solve:

Simplifying
3 + 3t + -11t2 + -8t3 + 7t4 + -1t5 + t6 = 0

Solving
3 + 3t + -11t2 + -8t3 + 7t4 + -1t5 + t6 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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