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Simplifying -9y = 2y2 + 4 Reorder the terms: -9y = 4 + 2y2 Solving -9y = 4 + 2y2 Solving for variable 'y'. Reorder the terms: -4 + -9y + -2y2 = 4 + 2y2 + -4 + -2y2 Reorder the terms: -4 + -9y + -2y2 = 4 + -4 + 2y2 + -2y2 Combine like terms: 4 + -4 = 0 -4 + -9y + -2y2 = 0 + 2y2 + -2y2 -4 + -9y + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -4 + -9y + -2y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 9y + 2y2) = 0 Factor a trinomial. -1((4 + y)(1 + 2y)) = 0 Ignore the factor -1.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 '(1 + 2y)' equal to zero and attempt to solve: Simplifying 1 + 2y = 0 Solving 1 + 2y = 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 + 2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = 0 + -1 2y = 0 + -1 Combine like terms: 0 + -1 = -1 2y = -1 Divide each side by '2'. y = -0.5 Simplifying y = -0.5Solution
y = {-4, -0.5}
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