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Simplifying 2y4 + 26y2 + 80 = 0 Reorder the terms: 80 + 26y2 + 2y4 = 0 Solving 80 + 26y2 + 2y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(40 + 13y2 + y4) = 0 Factor a trinomial. 2((8 + y2)(5 + y2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + y2)' equal to zero and attempt to solve: Simplifying 8 + y2 = 0 Solving 8 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + y2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + y2 = 0 + -8 y2 = 0 + -8 Combine like terms: 0 + -8 = -8 y2 = -8 Simplifying y2 = -8 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 '(5 + y2)' equal to zero and attempt to solve: Simplifying 5 + y2 = 0 Solving 5 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y2 = 0 + -5 y2 = 0 + -5 Combine like terms: 0 + -5 = -5 y2 = -5 Simplifying y2 = -5 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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