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Simplifying -9 = y(y + 6) Reorder the terms: -9 = y(6 + y) -9 = (6 * y + y * y) -9 = (6y + y2) Solving -9 = 6y + y2 Solving for variable 'y'. Reorder the terms: -9 + -6y + -1y2 = 6y + -6y + y2 + -1y2 Combine like terms: 6y + -6y = 0 -9 + -6y + -1y2 = 0 + y2 + -1y2 -9 + -6y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 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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