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Simplifying -2y2 + -9y = 10 Reorder the terms: -9y + -2y2 = 10 Solving -9y + -2y2 = 10 Solving for variable 'y'. Reorder the terms: -10 + -9y + -2y2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + -9y + -2y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(10 + 9y + 2y2) = 0 Factor a trinomial. -1((5 + 2y)(2 + y)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + 2y)' equal to zero and attempt to solve: Simplifying 5 + 2y = 0 Solving 5 + 2y = 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 + 2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2y = 0 + -5 2y = 0 + -5 Combine like terms: 0 + -5 = -5 2y = -5 Divide each side by '2'. y = -2.5 Simplifying y = -2.5Subproblem 2
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 = -2Solution
y = {-2.5, -2}
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