t^6+6t^3=16

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Solution for t^6+6t^3=16 equation: 


Simplifying
t6 + 6t3 = 16

Reorder the terms:
6t3 + t6 = 16

Solving
6t3 + t6 = 16

Solving for variable 't'.

Reorder the terms:
-16 + 6t3 + t6 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + 6t3 + t6 = 0

Factor a trinomial.
(-8 + -1t3)(2 + -1t3) = 0


Subproblem 1
Set the factor '(-8 + -1t3)' equal to zero and attempt to solve:

Simplifying
-8 + -1t3 = 0

Solving
-8 + -1t3 = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1t3 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1t3 = 0 + 8
-1t3 = 0 + 8

Combine like terms: 0 + 8 = 8
-1t3 = 8

Divide each side by '-1'.
t3 = -8

Simplifying
t3 = -8

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 '(2 + -1t3)' equal to zero and attempt to solve:

Simplifying
2 + -1t3 = 0

Solving
2 + -1t3 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1t3 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1t3 = 0 + -2
-1t3 = 0 + -2

Combine like terms: 0 + -2 = -2
-1t3 = -2

Divide each side by '-1'.
t3 = 2

Simplifying
t3 = 2

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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