y^6-8y^3=-16

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Solution for y^6-8y^3=-16 equation:


Simplifying
y6 + -8y3 = -16

Reorder the terms:
-8y3 + y6 = -16

Solving
-8y3 + y6 = -16

Solving for variable 'y'.

Reorder the terms:
16 + -8y3 + y6 = -16 + 16

Combine like terms: -16 + 16 = 0
16 + -8y3 + y6 = 0

Factor a trinomial.
(4 + -1y3)(4 + -1y3) = 0

Subproblem 1

Set the factor '(4 + -1y3)' equal to zero and attempt to solve: Simplifying 4 + -1y3 = 0 Solving 4 + -1y3 = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y3 = 0 + -4 -1y3 = 0 + -4 Combine like terms: 0 + -4 = -4 -1y3 = -4 Divide each side by '-1'. y3 = 4 Simplifying y3 = 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 '(4 + -1y3)' equal to zero and attempt to solve: Simplifying 4 + -1y3 = 0 Solving 4 + -1y3 = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y3 = 0 + -4 -1y3 = 0 + -4 Combine like terms: 0 + -4 = -4 -1y3 = -4 Divide each side by '-1'. y3 = 4 Simplifying y3 = 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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