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Simplifying 0 = 4y2 + -4y + -24 Reorder the terms: 0 = -24 + -4y + 4y2 Solving 0 = -24 + -4y + 4y2 Solving for variable 'y'. Combine like terms: 0 + 24 = 24 24 + 4y + -4y2 = -24 + -4y + 4y2 + 24 + 4y + -4y2 Reorder the terms: 24 + 4y + -4y2 = -24 + 24 + -4y + 4y + 4y2 + -4y2 Combine like terms: -24 + 24 = 0 24 + 4y + -4y2 = 0 + -4y + 4y + 4y2 + -4y2 24 + 4y + -4y2 = -4y + 4y + 4y2 + -4y2 Combine like terms: -4y + 4y = 0 24 + 4y + -4y2 = 0 + 4y2 + -4y2 24 + 4y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 24 + 4y + -4y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(6 + y + -1y2) = 0 Factor a trinomial. 4((3 + -1y)(2 + y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Subproblem 2
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 = -2Solution
y = {3, -2}
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