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Simplifying (Y + 8)(Y + -9) = 0 Reorder the terms: (8 + Y)(Y + -9) = 0 Reorder the terms: (8 + Y)(-9 + Y) = 0 Multiply (8 + Y) * (-9 + Y) (8(-9 + Y) + Y(-9 + Y)) = 0 ((-9 * 8 + Y * 8) + Y(-9 + Y)) = 0 ((-72 + 8Y) + Y(-9 + Y)) = 0 (-72 + 8Y + (-9 * Y + Y * Y)) = 0 (-72 + 8Y + (-9Y + Y2)) = 0 Combine like terms: 8Y + -9Y = -1Y (-72 + -1Y + Y2) = 0 Solving -72 + -1Y + Y2 = 0 Solving for variable 'Y'. Factor a trinomial. (-8 + -1Y)(9 + -1Y) = 0Subproblem 1
Set the factor '(-8 + -1Y)' equal to zero and attempt to solve: Simplifying -8 + -1Y = 0 Solving -8 + -1Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1Y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1Y = 0 + 8 -1Y = 0 + 8 Combine like terms: 0 + 8 = 8 -1Y = 8 Divide each side by '-1'. Y = -8 Simplifying Y = -8Subproblem 2
Set the factor '(9 + -1Y)' equal to zero and attempt to solve: Simplifying 9 + -1Y = 0 Solving 9 + -1Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1Y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1Y = 0 + -9 -1Y = 0 + -9 Combine like terms: 0 + -9 = -9 -1Y = -9 Divide each side by '-1'. Y = 9 Simplifying Y = 9Solution
Y = {-8, 9}
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