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Simplifying 2Y + -1Y2 = 81 Solving 2Y + -1Y2 = 81 Solving for variable 'Y'. Reorder the terms: -81 + 2Y + -1Y2 = 81 + -81 Combine like terms: 81 + -81 = 0 -81 + 2Y + -1Y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 81 + -2Y + Y2 = 0 Move the constant term to the right: Add '-81' to each side of the equation. 81 + -2Y + -81 + Y2 = 0 + -81 Reorder the terms: 81 + -81 + -2Y + Y2 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + -2Y + Y2 = 0 + -81 -2Y + Y2 = 0 + -81 Combine like terms: 0 + -81 = -81 -2Y + Y2 = -81 The Y term is -2Y. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2Y + 1 + Y2 = -81 + 1 Reorder the terms: 1 + -2Y + Y2 = -81 + 1 Combine like terms: -81 + 1 = -80 1 + -2Y + Y2 = -80 Factor a perfect square on the left side: (Y + -1)(Y + -1) = -80 Can't calculate square root of the right side. The solution to this equation could not be determined.
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