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Simplifying Y(Y + -5) = 104 Reorder the terms: Y(-5 + Y) = 104 (-5 * Y + Y * Y) = 104 (-5Y + Y2) = 104 Solving -5Y + Y2 = 104 Solving for variable 'Y'. Reorder the terms: -104 + -5Y + Y2 = 104 + -104 Combine like terms: 104 + -104 = 0 -104 + -5Y + Y2 = 0 Factor a trinomial. (-8 + -1Y)(13 + -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 '(13 + -1Y)' equal to zero and attempt to solve: Simplifying 13 + -1Y = 0 Solving 13 + -1Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1Y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1Y = 0 + -13 -1Y = 0 + -13 Combine like terms: 0 + -13 = -13 -1Y = -13 Divide each side by '-1'. Y = 13 Simplifying Y = 13Solution
Y = {-8, 13}
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