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Simplifying (2y + 8)(2y + 8) = 0 Reorder the terms: (8 + 2y)(2y + 8) = 0 Reorder the terms: (8 + 2y)(8 + 2y) = 0 Multiply (8 + 2y) * (8 + 2y) (8(8 + 2y) + 2y * (8 + 2y)) = 0 ((8 * 8 + 2y * 8) + 2y * (8 + 2y)) = 0 ((64 + 16y) + 2y * (8 + 2y)) = 0 (64 + 16y + (8 * 2y + 2y * 2y)) = 0 (64 + 16y + (16y + 4y2)) = 0 Combine like terms: 16y + 16y = 32y (64 + 32y + 4y2) = 0 Solving 64 + 32y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(16 + 8y + y2) = 0 Factor a trinomial. 4((4 + y)(4 + y)) = 0 Ignore the factor 4.Subproblem 1
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 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 = -4Solution
y = {-4, -4}
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