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Simplifying 2y4 + 12y2 + 18 = 0 Reorder the terms: 18 + 12y2 + 2y4 = 0 Solving 18 + 12y2 + 2y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(9 + 6y2 + y4) = 0 Factor a trinomial. 2((3 + y2)(3 + y2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + y2)' equal to zero and attempt to solve: Simplifying 3 + y2 = 0 Solving 3 + y2 = 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 + y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y2 = 0 + -3 y2 = 0 + -3 Combine like terms: 0 + -3 = -3 y2 = -3 Simplifying y2 = -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 '(3 + y2)' equal to zero and attempt to solve: Simplifying 3 + y2 = 0 Solving 3 + y2 = 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 + y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y2 = 0 + -3 y2 = 0 + -3 Combine like terms: 0 + -3 = -3 y2 = -3 Simplifying y2 = -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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