t^6+3t^3=40

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Solution for t^6+3t^3=40 equation: 


Simplifying
t6 + 3t3 = 40

Reorder the terms:
3t3 + t6 = 40

Solving
3t3 + t6 = 40

Solving for variable 't'.

Reorder the terms:
-40 + 3t3 + t6 = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + 3t3 + t6 = 0

Factor a trinomial.
(-8 + -1t3)(5 + -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 '(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.

The solution to this equation could not be determined.

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