t^6+2t^3=8

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Solution for t^6+2t^3=8 equation:


Simplifying
t6 + 2t3 = 8

Reorder the terms:
2t3 + t6 = 8

Solving
2t3 + t6 = 8

Solving for variable 't'.

Reorder the terms:
-8 + 2t3 + t6 = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + 2t3 + t6 = 0

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

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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