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Simplifying -10Y + -1Y2 = -264 Solving -10Y + -1Y2 = -264 Solving for variable 'Y'. Reorder the terms: 264 + -10Y + -1Y2 = -264 + 264 Combine like terms: -264 + 264 = 0 264 + -10Y + -1Y2 = 0 Factor a trinomial. (12 + -1Y)(22 + Y) = 0Subproblem 1
Set the factor '(12 + -1Y)' equal to zero and attempt to solve: Simplifying 12 + -1Y = 0 Solving 12 + -1Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1Y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1Y = 0 + -12 -1Y = 0 + -12 Combine like terms: 0 + -12 = -12 -1Y = -12 Divide each side by '-1'. Y = 12 Simplifying Y = 12Subproblem 2
Set the factor '(22 + Y)' equal to zero and attempt to solve: Simplifying 22 + Y = 0 Solving 22 + Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + Y = 0 + -22 Combine like terms: 22 + -22 = 0 0 + Y = 0 + -22 Y = 0 + -22 Combine like terms: 0 + -22 = -22 Y = -22 Simplifying Y = -22Solution
Y = {12, -22}
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