12-(6t^3+6)=t(18-9t^3+9t)

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Solution for 12-(6t^3+6)=t(18-9t^3+9t) equation: 


Simplifying
12 + -1(6t3 + 6) = t(18 + -9t3 + 9t)

Reorder the terms:
12 + -1(6 + 6t3) = t(18 + -9t3 + 9t)
12 + (6 * -1 + 6t3 * -1) = t(18 + -9t3 + 9t)
12 + (-6 + -6t3) = t(18 + -9t3 + 9t)

Combine like terms: 12 + -6 = 6
6 + -6t3 = t(18 + -9t3 + 9t)

Reorder the terms:
6 + -6t3 = t(18 + 9t + -9t3)
6 + -6t3 = (18 * t + 9t * t + -9t3 * t)
6 + -6t3 = (18t + 9t2 + -9t4)

Solving
6 + -6t3 = 18t + 9t2 + -9t4

Solving for variable 't'.

Reorder the terms:
6 + -18t + -9t2 + -6t3 + 9t4 = 18t + 9t2 + -9t4 + -18t + -9t2 + 9t4

Reorder the terms:
6 + -18t + -9t2 + -6t3 + 9t4 = 18t + -18t + 9t2 + -9t2 + -9t4 + 9t4

Combine like terms: 18t + -18t = 0
6 + -18t + -9t2 + -6t3 + 9t4 = 0 + 9t2 + -9t2 + -9t4 + 9t4
6 + -18t + -9t2 + -6t3 + 9t4 = 9t2 + -9t2 + -9t4 + 9t4

Combine like terms: 9t2 + -9t2 = 0
6 + -18t + -9t2 + -6t3 + 9t4 = 0 + -9t4 + 9t4
6 + -18t + -9t2 + -6t3 + 9t4 = -9t4 + 9t4

Combine like terms: -9t4 + 9t4 = 0
6 + -18t + -9t2 + -6t3 + 9t4 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + -6t + -3t2 + -2t3 + 3t4) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(2 + -6t + -3t2 + -2t3 + 3t4)' equal to zero and attempt to solve:

Simplifying
2 + -6t + -3t2 + -2t3 + 3t4 = 0

Solving
2 + -6t + -3t2 + -2t3 + 3t4 = 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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