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Simplifying y2 + 30y + 216 = 0 Reorder the terms: 216 + 30y + y2 = 0 Solving 216 + 30y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (18 + y)(12 + 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 '(12 + y)' equal to zero and attempt to solve: Simplifying 12 + y = 0 Solving 12 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + y = 0 + -12 y = 0 + -12 Combine like terms: 0 + -12 = -12 y = -12 Simplifying y = -12Solution
y = {-18, -12}
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