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Simplifying 4y2 + 24y = -32 Reorder the terms: 24y + 4y2 = -32 Solving 24y + 4y2 = -32 Solving for variable 'y'. Reorder the terms: 32 + 24y + 4y2 = -32 + 32 Combine like terms: -32 + 32 = 0 32 + 24y + 4y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(8 + 6y + y2) = 0 Factor a trinomial. 4((4 + y)(2 + y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 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 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Subproblem 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 = {-4, -2}
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