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Simplifying y5 + 2y3 + y = 0 Reorder the terms: y + 2y3 + y5 = 0 Solving y + 2y3 + y5 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(1 + 2y2 + y4) = 0 Factor a trinomial. y((1 + y2)(1 + y2)) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(1 + y2)' equal to zero and attempt to solve: Simplifying 1 + y2 = 0 Solving 1 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y2 = 0 + -1 y2 = 0 + -1 Combine like terms: 0 + -1 = -1 y2 = -1 Simplifying y2 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + y2)' equal to zero and attempt to solve: Simplifying 1 + y2 = 0 Solving 1 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y2 = 0 + -1 y2 = 0 + -1 Combine like terms: 0 + -1 = -1 y2 = -1 Simplifying y2 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
y = {0}
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