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Simplifying (4y + 8)(y + 2) = 0 Reorder the terms: (8 + 4y)(y + 2) = 0 Reorder the terms: (8 + 4y)(2 + y) = 0 Multiply (8 + 4y) * (2 + y) (8(2 + y) + 4y * (2 + y)) = 0 ((2 * 8 + y * 8) + 4y * (2 + y)) = 0 ((16 + 8y) + 4y * (2 + y)) = 0 (16 + 8y + (2 * 4y + y * 4y)) = 0 (16 + 8y + (8y + 4y2)) = 0 Combine like terms: 8y + 8y = 16y (16 + 16y + 4y2) = 0 Solving 16 + 16y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(4 + 4y + y2) = 0 Factor a trinomial. 4((2 + y)(2 + y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Subproblem 2
Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Solution
y = {-2, -2}
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