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Simplifying (2y + -8)(3y + 6) = 0 Reorder the terms: (-8 + 2y)(3y + 6) = 0 Reorder the terms: (-8 + 2y)(6 + 3y) = 0 Multiply (-8 + 2y) * (6 + 3y) (-8(6 + 3y) + 2y * (6 + 3y)) = 0 ((6 * -8 + 3y * -8) + 2y * (6 + 3y)) = 0 ((-48 + -24y) + 2y * (6 + 3y)) = 0 (-48 + -24y + (6 * 2y + 3y * 2y)) = 0 (-48 + -24y + (12y + 6y2)) = 0 Combine like terms: -24y + 12y = -12y (-48 + -12y + 6y2) = 0 Solving -48 + -12y + 6y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '6'. 6(-8 + -2y + y2) = 0 Factor a trinomial. 6((-2 + -1y)(4 + -1y)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-2 + -1y)' equal to zero and attempt to solve: Simplifying -2 + -1y = 0 Solving -2 + -1y = 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 + -1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = 0 + 2 -1y = 0 + 2 Combine like terms: 0 + 2 = 2 -1y = 2 Divide each side by '-1'. y = -2 Simplifying y = -2Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 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 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {-2, 4}
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