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Simplifying y2 + 21y + 54 = 0 Reorder the terms: 54 + 21y + y2 = 0 Solving 54 + 21y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (18 + y)(3 + y) = 0Subproblem 1
Set the factor '(18 + y)' equal to zero and attempt to solve: Simplifying 18 + y = 0 Solving 18 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + y = 0 + -18 y = 0 + -18 Combine like terms: 0 + -18 = -18 y = -18 Simplifying y = -18Subproblem 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 = {-18, -3}
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