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Simplifying 2(Y2 + -13Y + -30) = 0 Reorder the terms: 2(-30 + -13Y + Y2) = 0 (-30 * 2 + -13Y * 2 + Y2 * 2) = 0 (-60 + -26Y + 2Y2) = 0 Solving -60 + -26Y + 2Y2 = 0 Solving for variable 'Y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-30 + -13Y + Y2) = 0 Factor a trinomial. 2((-2 + -1Y)(15 + -1Y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -1Y)' equal to zero and attempt to solve: Simplifying -2 + -1Y = 0 Solving -2 + -1Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1Y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1Y = 0 + 2 -1Y = 0 + 2 Combine like terms: 0 + 2 = 2 -1Y = 2 Divide each side by '-1'. Y = -2 Simplifying Y = -2Subproblem 2
Set the factor '(15 + -1Y)' equal to zero and attempt to solve: Simplifying 15 + -1Y = 0 Solving 15 + -1Y = 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 + -1Y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1Y = 0 + -15 -1Y = 0 + -15 Combine like terms: 0 + -15 = -15 -1Y = -15 Divide each side by '-1'. Y = 15 Simplifying Y = 15Solution
Y = {-2, 15}
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