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Simplifying (2y + 6)(2y + 6) = 36 Reorder the terms: (6 + 2y)(2y + 6) = 36 Reorder the terms: (6 + 2y)(6 + 2y) = 36 Multiply (6 + 2y) * (6 + 2y) (6(6 + 2y) + 2y * (6 + 2y)) = 36 ((6 * 6 + 2y * 6) + 2y * (6 + 2y)) = 36 ((36 + 12y) + 2y * (6 + 2y)) = 36 (36 + 12y + (6 * 2y + 2y * 2y)) = 36 (36 + 12y + (12y + 4y2)) = 36 Combine like terms: 12y + 12y = 24y (36 + 24y + 4y2) = 36 Add '-36' to each side of the equation. 36 + 24y + -36 + 4y2 = 36 + -36 Reorder the terms: 36 + -36 + 24y + 4y2 = 36 + -36 Combine like terms: 36 + -36 = 0 0 + 24y + 4y2 = 36 + -36 24y + 4y2 = 36 + -36 Combine like terms: 36 + -36 = 0 24y + 4y2 = 0 Solving 24y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y'. 4y(6 + 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 '(6 + y)' equal to zero and attempt to solve: Simplifying 6 + y = 0 Solving 6 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + y = 0 + -6 y = 0 + -6 Combine like terms: 0 + -6 = -6 y = -6 Simplifying y = -6Solution
y = {0, -6}
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