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Simplifying 4y + -4y9 = 0 Solving 4y + -4y9 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y'. 4y(1 + -1y8) = 0 Factor a difference between two squares. 4y((1 + y4)(1 + -1y4)) = 0 Factor a difference between two squares. 4y((1 + y4)((1 + y2)(1 + -1y2))) = 0 Factor a difference between two squares. 4y((1 + y4)((1 + y2)((1 + y)(1 + -1y)))) = 0 Ignore the factor 4.Subproblem 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 + y4)' equal to zero and attempt to solve: Simplifying 1 + y4 = 0 Solving 1 + y4 = 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 + y4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y4 = 0 + -1 y4 = 0 + -1 Combine like terms: 0 + -1 = -1 y4 = -1 Simplifying y4 = -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.Subproblem 4
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Subproblem 5
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 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 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Solution
y = {0, -1, 1}
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