4t^6+8*t^3-32=0

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Solution for 4t^6+8*t^3-32=0 equation: 


Simplifying
4t6 + 8t3 + -32 = 0

Reorder the terms:
-32 + 8t3 + 4t6 = 0

Solving
-32 + 8t3 + 4t6 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-8 + 2t3 + t6) = 0

Factor a trinomial.
4((-4 + -1t3)(2 + -1t3)) = 0

Ignore the factor 4.

Subproblem 1
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.

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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