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Simplifying 0 = -4y2 + 56y + -96 Reorder the terms: 0 = -96 + 56y + -4y2 Solving 0 = -96 + 56y + -4y2 Solving for variable 'y'. Combine like terms: 0 + 96 = 96 96 + -56y + 4y2 = -96 + 56y + -4y2 + 96 + -56y + 4y2 Reorder the terms: 96 + -56y + 4y2 = -96 + 96 + 56y + -56y + -4y2 + 4y2 Combine like terms: -96 + 96 = 0 96 + -56y + 4y2 = 0 + 56y + -56y + -4y2 + 4y2 96 + -56y + 4y2 = 56y + -56y + -4y2 + 4y2 Combine like terms: 56y + -56y = 0 96 + -56y + 4y2 = 0 + -4y2 + 4y2 96 + -56y + 4y2 = -4y2 + 4y2 Combine like terms: -4y2 + 4y2 = 0 96 + -56y + 4y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(24 + -14y + y2) = 0 Factor a trinomial. 4((2 + -1y)(12 + -1y)) = 0 Ignore the factor 4.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 '(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 = {2, 12}
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