t^6+1t^3-6=0

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Solution for t^6+1t^3-6=0 equation:


Simplifying
t6 + 1t3 + -6 = 0

Reorder the terms:
-6 + 1t3 + t6 = 0

Solving
-6 + 1t3 + t6 = 0

Solving for variable 't'.

Factor a trinomial.
(-3 + -1t3)(2 + -1t3) = 0

Subproblem 1

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.

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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