y^6+3y^3-18=0

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Solution for y^6+3y^3-18=0 equation:


Simplifying
y6 + 3y3 + -18 = 0

Reorder the terms:
-18 + 3y3 + y6 = 0

Solving
-18 + 3y3 + y6 = 0

Solving for variable 'y'.

Factor a trinomial.
(-6 + -1y3)(3 + -1y3) = 0

Subproblem 1

Set the factor '(-6 + -1y3)' equal to zero and attempt to solve: Simplifying -6 + -1y3 = 0 Solving -6 + -1y3 = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1y3 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1y3 = 0 + 6 -1y3 = 0 + 6 Combine like terms: 0 + 6 = 6 -1y3 = 6 Divide each side by '-1'. y3 = -6 Simplifying y3 = -6 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 '(3 + -1y3)' equal to zero and attempt to solve: Simplifying 3 + -1y3 = 0 Solving 3 + -1y3 = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y3 = 0 + -3 -1y3 = 0 + -3 Combine like terms: 0 + -3 = -3 -1y3 = -3 Divide each side by '-1'. y3 = 3 Simplifying y3 = 3 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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