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Simplifying 0 = 4y + -4y3 Solving 0 = 4y + -4y3 Solving for variable 'y'. Remove the zero: -4y + 4y3 = 4y + -4y3 + -4y + 4y3 Reorder the terms: -4y + 4y3 = 4y + -4y + -4y3 + 4y3 Combine like terms: 4y + -4y = 0 -4y + 4y3 = 0 + -4y3 + 4y3 -4y + 4y3 = -4y3 + 4y3 Combine like terms: -4y3 + 4y3 = 0 -4y + 4y3 = 0 Factor out the Greatest Common Factor (GCF), '4y'. 4y(-1 + y2) = 0 Factor a difference between two squares. 4y((1 + y)(-1 + y)) = 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 + 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 3
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 = 1Solution
y = {0, -1, 1}
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