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Simplifying (4y + 6)(4y + 6) = 36 Reorder the terms: (6 + 4y)(4y + 6) = 36 Reorder the terms: (6 + 4y)(6 + 4y) = 36 Multiply (6 + 4y) * (6 + 4y) (6(6 + 4y) + 4y * (6 + 4y)) = 36 ((6 * 6 + 4y * 6) + 4y * (6 + 4y)) = 36 ((36 + 24y) + 4y * (6 + 4y)) = 36 (36 + 24y + (6 * 4y + 4y * 4y)) = 36 (36 + 24y + (24y + 16y2)) = 36 Combine like terms: 24y + 24y = 48y (36 + 48y + 16y2) = 36 Add '-36' to each side of the equation. 36 + 48y + -36 + 16y2 = 36 + -36 Reorder the terms: 36 + -36 + 48y + 16y2 = 36 + -36 Combine like terms: 36 + -36 = 0 0 + 48y + 16y2 = 36 + -36 48y + 16y2 = 36 + -36 Combine like terms: 36 + -36 = 0 48y + 16y2 = 0 Solving 48y + 16y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '16y'. 16y(3 + y) = 0 Ignore the factor 16.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 '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3Solution
y = {0, -3}
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