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Simplifying -9y2 + -22y + -8 = 0 Reorder the terms: -8 + -22y + -9y2 = 0 Solving -8 + -22y + -9y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-1'. -1(8 + 22y + 9y2) = 0 Factor a trinomial. -1((2 + y)(4 + 9y)) = 0 Ignore the factor -1.Subproblem 1
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 = -2Subproblem 2
Set the factor '(4 + 9y)' equal to zero and attempt to solve: Simplifying 4 + 9y = 0 Solving 4 + 9y = 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 + 9y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9y = 0 + -4 9y = 0 + -4 Combine like terms: 0 + -4 = -4 9y = -4 Divide each side by '9'. y = -0.4444444444 Simplifying y = -0.4444444444Solution
y = {-2, -0.4444444444}
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