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Simplifying y4 + -256 = 0 Reorder the terms: -256 + y4 = 0 Solving -256 + y4 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '256' to each side of the equation. -256 + 256 + y4 = 0 + 256 Combine like terms: -256 + 256 = 0 0 + y4 = 0 + 256 y4 = 0 + 256 Combine like terms: 0 + 256 = 256 y4 = 256 Simplifying y4 = 256 Reorder the terms: -256 + y4 = 256 + -256 Combine like terms: 256 + -256 = 0 -256 + y4 = 0 Factor a difference between two squares. (16 + y2)(-16 + y2) = 0 Factor a difference between two squares. (16 + y2)((4 + y)(-4 + y)) = 0Subproblem 1
Set the factor '(16 + y2)' equal to zero and attempt to solve: Simplifying 16 + y2 = 0 Solving 16 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + y2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + y2 = 0 + -16 y2 = 0 + -16 Combine like terms: 0 + -16 = -16 y2 = -16 Simplifying y2 = -16 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 '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 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 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Subproblem 3
Set the factor '(-4 + y)' equal to zero and attempt to solve: Simplifying -4 + y = 0 Solving -4 + y = 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 + y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + y = 0 + 4 y = 0 + 4 Combine like terms: 0 + 4 = 4 y = 4 Simplifying y = 4Solution
y = {-4, 4}
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