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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. (-6 + -1y)(36 + -1y) = 0Subproblem 1
Set the factor '(-6 + -1y)' equal to zero and attempt to solve: Simplifying -6 + -1y = 0 Solving -6 + -1y = 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 + -1y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1y = 0 + 6 -1y = 0 + 6 Combine like terms: 0 + 6 = 6 -1y = 6 Divide each side by '-1'. y = -6 Simplifying y = -6Subproblem 2
Set the factor '(36 + -1y)' equal to zero and attempt to solve: Simplifying 36 + -1y = 0 Solving 36 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1y = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1y = 0 + -36 -1y = 0 + -36 Combine like terms: 0 + -36 = -36 -1y = -36 Divide each side by '-1'. y = 36 Simplifying y = 36Solution
y = {-6, 36}
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