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Simplifying y2 + 26y + 165 = 0 Reorder the terms: 165 + 26y + y2 = 0 Solving 165 + 26y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (15 + y)(11 + y) = 0Subproblem 1
Set the factor '(15 + y)' equal to zero and attempt to solve: Simplifying 15 + y = 0 Solving 15 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + y = 0 + -15 y = 0 + -15 Combine like terms: 0 + -15 = -15 y = -15 Simplifying y = -15Subproblem 2
Set the factor '(11 + y)' equal to zero and attempt to solve: Simplifying 11 + y = 0 Solving 11 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + y = 0 + -11 y = 0 + -11 Combine like terms: 0 + -11 = -11 y = -11 Simplifying y = -11Solution
y = {-15, -11}
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