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Simplifying -6y2 + -24y + 1512 = 0 Reorder the terms: 1512 + -24y + -6y2 = 0 Solving 1512 + -24y + -6y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '6'. 6(252 + -4y + -1y2) = 0 Factor a trinomial. 6((14 + -1y)(18 + y)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(14 + -1y)' equal to zero and attempt to solve: Simplifying 14 + -1y = 0 Solving 14 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1y = 0 + -14 -1y = 0 + -14 Combine like terms: 0 + -14 = -14 -1y = -14 Divide each side by '-1'. y = 14 Simplifying y = 14Subproblem 2
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 = -18Solution
y = {14, -18}
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