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Simplifying Y2 + 4Y + -480 = 0 Reorder the terms: -480 + 4Y + Y2 = 0 Solving -480 + 4Y + Y2 = 0 Solving for variable 'Y'. Factor a trinomial. (-24 + -1Y)(20 + -1Y) = 0Subproblem 1
Set the factor '(-24 + -1Y)' equal to zero and attempt to solve: Simplifying -24 + -1Y = 0 Solving -24 + -1Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1Y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1Y = 0 + 24 -1Y = 0 + 24 Combine like terms: 0 + 24 = 24 -1Y = 24 Divide each side by '-1'. Y = -24 Simplifying Y = -24Subproblem 2
Set the factor '(20 + -1Y)' equal to zero and attempt to solve: Simplifying 20 + -1Y = 0 Solving 20 + -1Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1Y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1Y = 0 + -20 -1Y = 0 + -20 Combine like terms: 0 + -20 = -20 -1Y = -20 Divide each side by '-1'. Y = 20 Simplifying Y = 20Solution
Y = {-24, 20}
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