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Simplifying (3y + 4)(8y + 8) = 0 Reorder the terms: (4 + 3y)(8y + 8) = 0 Reorder the terms: (4 + 3y)(8 + 8y) = 0 Multiply (4 + 3y) * (8 + 8y) (4(8 + 8y) + 3y * (8 + 8y)) = 0 ((8 * 4 + 8y * 4) + 3y * (8 + 8y)) = 0 ((32 + 32y) + 3y * (8 + 8y)) = 0 (32 + 32y + (8 * 3y + 8y * 3y)) = 0 (32 + 32y + (24y + 24y2)) = 0 Combine like terms: 32y + 24y = 56y (32 + 56y + 24y2) = 0 Solving 32 + 56y + 24y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '8'. 8(4 + 7y + 3y2) = 0 Factor a trinomial. 8((4 + 3y)(1 + y)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(4 + 3y)' equal to zero and attempt to solve: Simplifying 4 + 3y = 0 Solving 4 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3y = 0 + -4 3y = 0 + -4 Combine like terms: 0 + -4 = -4 3y = -4 Divide each side by '3'. y = -1.333333333 Simplifying y = -1.333333333Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {-1.333333333, -1}
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