(t^6)+(4*t^3)=32

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Solution for (t^6)+(4*t^3)=32 equation: 


Simplifying
(t6) + (4t3) = 32
t6 + (4t3) = 32

Reorder the terms:
(4t3) + t6 = 32

Solving
(4t3) + t6 = 32

Solving for variable 't'.

Reorder the terms:
-32 + (4t3) + t6 = 32 + -32

Combine like terms: 32 + -32 = 0
-32 + (4t3) + t6 = 0

Factor a trinomial.
(-8 + -1t3)(4 + -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 '(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.

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