t^6+2t^3=24

Solution for t^6+2t^3=24 equation:

Simplifying
t6 + 2t3 = 24

Reorder the terms:
2t3 + t6 = 24

Solving
2t3 + t6 = 24

Solving for variable 't'.

Reorder the terms:
-24 + 2t3 + t6 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 2t3 + t6 = 0

Factor a trinomial.
(-6 + -1t3)(4 + -1t3) = 0

Subproblem 1
Set the factor '(-6 + -1t3)' equal to zero and attempt to solve:

Simplifying
-6 + -1t3 = 0

Solving
-6 + -1t3 = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1t3 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1t3 = 0 + 6
-1t3 = 0 + 6

Combine like terms: 0 + 6 = 6
-1t3 = 6

Divide each side by '-1'.
t3 = -6

Simplifying
t3 = -6

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 '(4 + -1t3)' equal to zero and attempt to solve:

Simplifying
4 + -1t3 = 0

Solving
4 + -1t3 = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1t3 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1t3 = 0 + -4
-1t3 = 0 + -4

Combine like terms: 0 + -4 = -4
-1t3 = -4

Divide each side by '-1'.
t3 = 4

Simplifying
t3 = 4

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.