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Simplifying -1y2 = 6y + 9 Reorder the terms: -1y2 = 9 + 6y Solving -1y2 = 9 + 6y Solving for variable 'y'. Reorder the terms: -9 + -6y + -1y2 = 9 + 6y + -9 + -6y Reorder the terms: -9 + -6y + -1y2 = 9 + -9 + 6y + -6y Combine like terms: 9 + -9 = 0 -9 + -6y + -1y2 = 0 + 6y + -6y -9 + -6y + -1y2 = 6y + -6y Combine like terms: 6y + -6y = 0 -9 + -6y + -1y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(9 + 6y + y2) = 0 Factor a trinomial. -1((3 + y)(3 + y)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3Subproblem 2
Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3Solution
y = {-3, -3}
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