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Simplifying 2y(12y + 40) + 64 = 0 Reorder the terms: 2y(40 + 12y) + 64 = 0 (40 * 2y + 12y * 2y) + 64 = 0 (80y + 24y2) + 64 = 0 Reorder the terms: 64 + 80y + 24y2 = 0 Solving 64 + 80y + 24y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '8'. 8(8 + 10y + 3y2) = 0 Factor a trinomial. 8((2 + y)(4 + 3y)) = 0 Ignore the factor 8.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 '(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 = -1.333333333Solution
y = {-2, -1.333333333}
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