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Simplifying (Y + -5) * Y = 36 Reorder the terms: (-5 + Y) * Y = 36 Reorder the terms for easier multiplication: Y(-5 + Y) = 36 (-5 * Y + Y * Y) = 36 (-5Y + Y2) = 36 Solving -5Y + Y2 = 36 Solving for variable 'Y'. Reorder the terms: -36 + -5Y + Y2 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + -5Y + Y2 = 0 Factor a trinomial. (-4 + -1Y)(9 + -1Y) = 0Subproblem 1
Set the factor '(-4 + -1Y)' equal to zero and attempt to solve: Simplifying -4 + -1Y = 0 Solving -4 + -1Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1Y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1Y = 0 + 4 -1Y = 0 + 4 Combine like terms: 0 + 4 = 4 -1Y = 4 Divide each side by '-1'. Y = -4 Simplifying Y = -4Subproblem 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 = {-4, 9}
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