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Simplifying 4y(y + 4)(y + -4) = 0 Reorder the terms: 4y(4 + y)(y + -4) = 0 Reorder the terms: 4y(4 + y)(-4 + y) = 0 Multiply (4 + y) * (-4 + y) 4y(4(-4 + y) + y(-4 + y)) = 0 4y((-4 * 4 + y * 4) + y(-4 + y)) = 0 4y((-16 + 4y) + y(-4 + y)) = 0 4y(-16 + 4y + (-4 * y + y * y)) = 0 4y(-16 + 4y + (-4y + y2)) = 0 Combine like terms: 4y + -4y = 0 4y(-16 + 0 + y2) = 0 4y(-16 + y2) = 0 (-16 * 4y + y2 * 4y) = 0 (-64y + 4y3) = 0 Solving -64y + 4y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y'. 4y(-16 + y2) = 0 Factor a difference between two squares. 4y((4 + y)(-4 + 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 '(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 = {0, -4, 4}
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