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Simplifying (y + 5) = 2y2 + 9y + 5 Reorder the terms: (5 + y) = 2y2 + 9y + 5 Remove parenthesis around (5 + y) 5 + y = 2y2 + 9y + 5 Reorder the terms: 5 + y = 5 + 9y + 2y2 Add '-5' to each side of the equation. 5 + -5 + y = 5 + 9y + -5 + 2y2 Combine like terms: 5 + -5 = 0 0 + y = 5 + 9y + -5 + 2y2 y = 5 + 9y + -5 + 2y2 Reorder the terms: y = 5 + -5 + 9y + 2y2 Combine like terms: 5 + -5 = 0 y = 0 + 9y + 2y2 y = 9y + 2y2 Solving y = 9y + 2y2 Solving for variable 'y'. Combine like terms: y + -9y = -8y -8y + -2y2 = 9y + 2y2 + -9y + -2y2 Reorder the terms: -8y + -2y2 = 9y + -9y + 2y2 + -2y2 Combine like terms: 9y + -9y = 0 -8y + -2y2 = 0 + 2y2 + -2y2 -8y + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -8y + -2y2 = 0 Factor out the Greatest Common Factor (GCF), '-2y'. -2y(4 + y) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
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 = -4Solution
y = {0, -4}
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