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Simplifying 15 + -1Y = 15Y + -1Y2 Solving 15 + -1Y = 15Y + -1Y2 Solving for variable 'Y'. Combine like terms: -1Y + -15Y = -16Y 15 + -16Y + Y2 = 15Y + -1Y2 + -15Y + Y2 Reorder the terms: 15 + -16Y + Y2 = 15Y + -15Y + -1Y2 + Y2 Combine like terms: 15Y + -15Y = 0 15 + -16Y + Y2 = 0 + -1Y2 + Y2 15 + -16Y + Y2 = -1Y2 + Y2 Combine like terms: -1Y2 + Y2 = 0 15 + -16Y + Y2 = 0 Factor a trinomial. (1 + -1Y)(15 + -1Y) = 0Subproblem 1
Set the factor '(1 + -1Y)' equal to zero and attempt to solve: Simplifying 1 + -1Y = 0 Solving 1 + -1Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1Y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1Y = 0 + -1 -1Y = 0 + -1 Combine like terms: 0 + -1 = -1 -1Y = -1 Divide each side by '-1'. Y = 1 Simplifying Y = 1Subproblem 2
Set the factor '(15 + -1Y)' equal to zero and attempt to solve: Simplifying 15 + -1Y = 0 Solving 15 + -1Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1Y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1Y = 0 + -15 -1Y = 0 + -15 Combine like terms: 0 + -15 = -15 -1Y = -15 Divide each side by '-1'. Y = 15 Simplifying Y = 15Solution
Y = {1, 15}
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