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Simplifying -1y2 + -28y + -27 = 0 Reorder the terms: -27 + -28y + -1y2 = 0 Solving -27 + -28y + -1y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-1'. -1(27 + 28y + y2) = 0 Factor a trinomial. -1((27 + y)(1 + y)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(27 + y)' equal to zero and attempt to solve: Simplifying 27 + y = 0 Solving 27 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + y = 0 + -27 y = 0 + -27 Combine like terms: 0 + -27 = -27 y = -27 Simplifying y = -27Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {-27, -1}
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