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Simplifying 2y2 + 7y + -11 + -1y2 + -6y + -9 = 0 Reorder the terms: -11 + -9 + 7y + -6y + 2y2 + -1y2 = 0 Combine like terms: -11 + -9 = -20 -20 + 7y + -6y + 2y2 + -1y2 = 0 Combine like terms: 7y + -6y = 1y -20 + 1y + 2y2 + -1y2 = 0 Combine like terms: 2y2 + -1y2 = 1y2 -20 + 1y + 1y2 = 0 Solving -20 + 1y + 1y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + -1y)(4 + -1y) = 0Subproblem 1
Set the factor '(-5 + -1y)' equal to zero and attempt to solve: Simplifying -5 + -1y = 0 Solving -5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1y = 0 + 5 -1y = 0 + 5 Combine like terms: 0 + 5 = 5 -1y = 5 Divide each side by '-1'. y = -5 Simplifying y = -5Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 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 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {-5, 4}
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