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Simplifying (2y + 4)(4y + 3) = 0 Reorder the terms: (4 + 2y)(4y + 3) = 0 Reorder the terms: (4 + 2y)(3 + 4y) = 0 Multiply (4 + 2y) * (3 + 4y) (4(3 + 4y) + 2y * (3 + 4y)) = 0 ((3 * 4 + 4y * 4) + 2y * (3 + 4y)) = 0 ((12 + 16y) + 2y * (3 + 4y)) = 0 (12 + 16y + (3 * 2y + 4y * 2y)) = 0 (12 + 16y + (6y + 8y2)) = 0 Combine like terms: 16y + 6y = 22y (12 + 22y + 8y2) = 0 Solving 12 + 22y + 8y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(6 + 11y + 4y2) = 0 Factor a trinomial. 2((2 + y)(3 + 4y)) = 0 Ignore the factor 2.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 '(3 + 4y)' equal to zero and attempt to solve: Simplifying 3 + 4y = 0 Solving 3 + 4y = 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 + 4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4y = 0 + -3 4y = 0 + -3 Combine like terms: 0 + -3 = -3 4y = -3 Divide each side by '4'. y = -0.75 Simplifying y = -0.75Solution
y = {-2, -0.75}
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