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Simplifying (6y + 4)(6y + 4) = 0 Reorder the terms: (4 + 6y)(6y + 4) = 0 Reorder the terms: (4 + 6y)(4 + 6y) = 0 Multiply (4 + 6y) * (4 + 6y) (4(4 + 6y) + 6y * (4 + 6y)) = 0 ((4 * 4 + 6y * 4) + 6y * (4 + 6y)) = 0 ((16 + 24y) + 6y * (4 + 6y)) = 0 (16 + 24y + (4 * 6y + 6y * 6y)) = 0 (16 + 24y + (24y + 36y2)) = 0 Combine like terms: 24y + 24y = 48y (16 + 48y + 36y2) = 0 Solving 16 + 48y + 36y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(4 + 12y + 9y2) = 0 Factor a trinomial. 4((2 + 3y)(2 + 3y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + 3y)' equal to zero and attempt to solve: Simplifying 2 + 3y = 0 Solving 2 + 3y = 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 + 3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3y = 0 + -2 3y = 0 + -2 Combine like terms: 0 + -2 = -2 3y = -2 Divide each side by '3'. y = -0.6666666667 Simplifying y = -0.6666666667Subproblem 2
Set the factor '(2 + 3y)' equal to zero and attempt to solve: Simplifying 2 + 3y = 0 Solving 2 + 3y = 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 + 3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3y = 0 + -2 3y = 0 + -2 Combine like terms: 0 + -2 = -2 3y = -2 Divide each side by '3'. y = -0.6666666667 Simplifying y = -0.6666666667Solution
y = {-0.6666666667, -0.6666666667}
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