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Simplifying y2 + 22y + 96 = 0 Reorder the terms: 96 + 22y + y2 = 0 Solving 96 + 22y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (16 + y)(6 + y) = 0Subproblem 1
Set the factor '(16 + y)' equal to zero and attempt to solve: Simplifying 16 + y = 0 Solving 16 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + y = 0 + -16 y = 0 + -16 Combine like terms: 0 + -16 = -16 y = -16 Simplifying y = -16Subproblem 2
Set the factor '(6 + y)' equal to zero and attempt to solve: Simplifying 6 + y = 0 Solving 6 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + y = 0 + -6 y = 0 + -6 Combine like terms: 0 + -6 = -6 y = -6 Simplifying y = -6Solution
y = {-16, -6}
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