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Simplifying y5 + -16y = 0 Reorder the terms: -16y + y5 = 0 Solving -16y + y5 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-16 + y4) = 0 Factor a difference between two squares. y((4 + y2)(-4 + y2)) = 0 Factor a difference between two squares. y((4 + y2)((2 + y)(-2 + y))) = 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 '(4 + y2)' equal to zero and attempt to solve: Simplifying 4 + y2 = 0 Solving 4 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y2 = 0 + -4 y2 = 0 + -4 Combine like terms: 0 + -4 = -4 y2 = -4 Simplifying y2 = -4 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 '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 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 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Subproblem 4
Set the factor '(-2 + y)' equal to zero and attempt to solve: Simplifying -2 + y = 0 Solving -2 + y = 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 + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y = 0 + 2 y = 0 + 2 Combine like terms: 0 + 2 = 2 y = 2 Simplifying y = 2Solution
y = {0, -2, 2}
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