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Simplifying X4y2 + -16y2 = 0 Reorder the terms: -16y2 + y2X4 = 0 Solving -16y2 + y2X4 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'y2'. y2(-16 + X4) = 0 Factor a difference between two squares. y2((4 + X2)(-4 + X2)) = 0 Factor a difference between two squares. y2((4 + X2)((2 + X)(-2 + X))) = 0Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(4 + X2)' equal to zero and attempt to solve: Simplifying 4 + X2 = 0 Solving 4 + X2 = 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 + X2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + X2 = 0 + -4 X2 = 0 + -4 Combine like terms: 0 + -4 = -4 X2 = -4 Add '-1X2' to each side of the equation. X2 + -1X2 = -4 + -1X2 Combine like terms: X2 + -1X2 = 0 0 = -4 + -1X2 Simplifying 0 = -4 + -1X2 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 + X)' equal to zero and attempt to solve: Simplifying 2 + X = 0 Solving 2 + X = 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 + X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + X = 0 + -2 X = 0 + -2 Combine like terms: 0 + -2 = -2 X = -2 Add '-1X' to each side of the equation. X + -1X = -2 + -1X Combine like terms: X + -1X = 0 0 = -2 + -1X Simplifying 0 = -2 + -1X The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 4
Set the factor '(-2 + X)' equal to zero and attempt to solve: Simplifying -2 + X = 0 Solving -2 + X = 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 + X = 0 + 2 Combine like terms: -2 + 2 = 0 0 + X = 0 + 2 X = 0 + 2 Combine like terms: 0 + 2 = 2 X = 2 Add '-1X' to each side of the equation. X + -1X = 2 + -1X Combine like terms: X + -1X = 0 0 = 2 + -1X Simplifying 0 = 2 + -1X 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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