t^6+2t^3=15

Solution for t^6+2t^3=15 equation:

Simplifying
t6 + 2t3 = 15

Reorder the terms:
2t3 + t6 = 15

Solving
2t3 + t6 = 15

Solving for variable 't'.

Reorder the terms:
-15 + 2t3 + t6 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + 2t3 + t6 = 0

Factor a trinomial.
(-5 + -1t3)(3 + -1t3) = 0

Subproblem 1
Set the factor '(-5 + -1t3)' equal to zero and attempt to solve:

Simplifying
-5 + -1t3 = 0

Solving
-5 + -1t3 = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1t3 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1t3 = 0 + 5
-1t3 = 0 + 5

Combine like terms: 0 + 5 = 5
-1t3 = 5

Divide each side by '-1'.
t3 = -5

Simplifying
t3 = -5

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.