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Simplifying (4y + 6)(4y + 6) = 0 Reorder the terms: (6 + 4y)(4y + 6) = 0 Reorder the terms: (6 + 4y)(6 + 4y) = 0 Multiply (6 + 4y) * (6 + 4y) (6(6 + 4y) + 4y * (6 + 4y)) = 0 ((6 * 6 + 4y * 6) + 4y * (6 + 4y)) = 0 ((36 + 24y) + 4y * (6 + 4y)) = 0 (36 + 24y + (6 * 4y + 4y * 4y)) = 0 (36 + 24y + (24y + 16y2)) = 0 Combine like terms: 24y + 24y = 48y (36 + 48y + 16y2) = 0 Solving 36 + 48y + 16y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(9 + 12y + 4y2) = 0 Factor a trinomial. 4((3 + 2y)(3 + 2y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + 2y)' equal to zero and attempt to solve: Simplifying 3 + 2y = 0 Solving 3 + 2y = 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 + 2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2y = 0 + -3 2y = 0 + -3 Combine like terms: 0 + -3 = -3 2y = -3 Divide each side by '2'. y = -1.5 Simplifying y = -1.5Subproblem 2
Set the factor '(3 + 2y)' equal to zero and attempt to solve: Simplifying 3 + 2y = 0 Solving 3 + 2y = 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 + 2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2y = 0 + -3 2y = 0 + -3 Combine like terms: 0 + -3 = -3 2y = -3 Divide each side by '2'. y = -1.5 Simplifying y = -1.5Solution
y = {-1.5, -1.5}
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