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Simplifying 8y2 = -16y + 384 Reorder the terms: 8y2 = 384 + -16y Solving 8y2 = 384 + -16y Solving for variable 'y'. Reorder the terms: -384 + 16y + 8y2 = 384 + -16y + -384 + 16y Reorder the terms: -384 + 16y + 8y2 = 384 + -384 + -16y + 16y Combine like terms: 384 + -384 = 0 -384 + 16y + 8y2 = 0 + -16y + 16y -384 + 16y + 8y2 = -16y + 16y Combine like terms: -16y + 16y = 0 -384 + 16y + 8y2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-48 + 2y + y2) = 0 Factor a trinomial. 8((-8 + -1y)(6 + -1y)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-8 + -1y)' equal to zero and attempt to solve: Simplifying -8 + -1y = 0 Solving -8 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1y = 0 + 8 -1y = 0 + 8 Combine like terms: 0 + 8 = 8 -1y = 8 Divide each side by '-1'. y = -8 Simplifying y = -8Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6Solution
y = {-8, 6}
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