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Simplifying 2y2 + 8y + -384 = 0 Reorder the terms: -384 + 8y + 2y2 = 0 Solving -384 + 8y + 2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-192 + 4y + y2) = 0 Factor a trinomial. 2((-16 + -1y)(12 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-16 + -1y)' equal to zero and attempt to solve: Simplifying -16 + -1y = 0 Solving -16 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1y = 0 + 16 -1y = 0 + 16 Combine like terms: 0 + 16 = 16 -1y = 16 Divide each side by '-1'. y = -16 Simplifying y = -16Subproblem 2
Set the factor '(12 + -1y)' equal to zero and attempt to solve: Simplifying 12 + -1y = 0 Solving 12 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1y = 0 + -12 -1y = 0 + -12 Combine like terms: 0 + -12 = -12 -1y = -12 Divide each side by '-1'. y = 12 Simplifying y = 12Solution
y = {-16, 12}
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