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Simplifying 3y4 + 12y2 + 12 = 0 Reorder the terms: 12 + 12y2 + 3y4 = 0 Solving 12 + 12y2 + 3y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(4 + 4y2 + y4) = 0 Factor a trinomial. 3((2 + y2)(2 + y2)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + y2)' equal to zero and attempt to solve: Simplifying 2 + y2 = 0 Solving 2 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y2 = 0 + -2 y2 = 0 + -2 Combine like terms: 0 + -2 = -2 y2 = -2 Simplifying y2 = -2 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 + y2)' equal to zero and attempt to solve: Simplifying 2 + y2 = 0 Solving 2 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y2 = 0 + -2 y2 = 0 + -2 Combine like terms: 0 + -2 = -2 y2 = -2 Simplifying y2 = -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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