t^6+6t^3=27

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Solution for t^6+6t^3=27 equation: 


Simplifying
t6 + 6t3 = 27

Reorder the terms:
6t3 + t6 = 27

Solving
6t3 + t6 = 27

Solving for variable 't'.

Reorder the terms:
-27 + 6t3 + t6 = 27 + -27

Combine like terms: 27 + -27 = 0
-27 + 6t3 + t6 = 0

Factor a trinomial.
(-9 + -1t3)(3 + -1t3) = 0


Subproblem 1
Set the factor '(-9 + -1t3)' equal to zero and attempt to solve:

Simplifying
-9 + -1t3 = 0

Solving
-9 + -1t3 = 0

Move all terms containing t to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + -1t3 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1t3 = 0 + 9
-1t3 = 0 + 9

Combine like terms: 0 + 9 = 9
-1t3 = 9

Divide each side by '-1'.
t3 = -9

Simplifying
t3 = -9

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(3 + -1t3)' equal to zero and attempt to solve:

Simplifying
3 + -1t3 = 0

Solving
3 + -1t3 = 0

Move all terms containing t to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -1t3 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t3 = 0 + -3
-1t3 = 0 + -3

Combine like terms: 0 + -3 = -3
-1t3 = -3

Divide each side by '-1'.
t3 = 3

Simplifying
t3 = 3

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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