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Simplifying 15Y + -1Y2 = 15 + -1Y Solving 15Y + -1Y2 = 15 + -1Y Solving for variable 'Y'. Reorder the terms: -15 + 15Y + Y + -1Y2 = 15 + -1Y + -15 + Y Combine like terms: 15Y + Y = 16Y -15 + 16Y + -1Y2 = 15 + -1Y + -15 + Y Reorder the terms: -15 + 16Y + -1Y2 = 15 + -15 + -1Y + Y Combine like terms: 15 + -15 = 0 -15 + 16Y + -1Y2 = 0 + -1Y + Y -15 + 16Y + -1Y2 = -1Y + Y Combine like terms: -1Y + Y = 0 -15 + 16Y + -1Y2 = 0 Factor a trinomial. (-15 + Y)(1 + -1Y) = 0Subproblem 1
Set the factor '(-15 + Y)' equal to zero and attempt to solve: Simplifying -15 + Y = 0 Solving -15 + Y = 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 + Y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + Y = 0 + 15 Y = 0 + 15 Combine like terms: 0 + 15 = 15 Y = 15 Simplifying Y = 15Subproblem 2
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 = 1Solution
Y = {15, 1}
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