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Simplifying -17y(y + -2) = -17y + 64 Reorder the terms: -17y(-2 + y) = -17y + 64 (-2 * -17y + y * -17y) = -17y + 64 (34y + -17y2) = -17y + 64 Reorder the terms: 34y + -17y2 = 64 + -17y Solving 34y + -17y2 = 64 + -17y Solving for variable 'y'. Reorder the terms: -64 + 34y + 17y + -17y2 = 64 + -17y + -64 + 17y Combine like terms: 34y + 17y = 51y -64 + 51y + -17y2 = 64 + -17y + -64 + 17y Reorder the terms: -64 + 51y + -17y2 = 64 + -64 + -17y + 17y Combine like terms: 64 + -64 = 0 -64 + 51y + -17y2 = 0 + -17y + 17y -64 + 51y + -17y2 = -17y + 17y Combine like terms: -17y + 17y = 0 -64 + 51y + -17y2 = 0 Begin completing the square. Divide all terms by -17 the coefficient of the squared term: Divide each side by '-17'. 3.764705882 + -3y + y2 = 0 Move the constant term to the right: Add '-3.764705882' to each side of the equation. 3.764705882 + -3y + -3.764705882 + y2 = 0 + -3.764705882 Reorder the terms: 3.764705882 + -3.764705882 + -3y + y2 = 0 + -3.764705882 Combine like terms: 3.764705882 + -3.764705882 = 0.000000000 0.000000000 + -3y + y2 = 0 + -3.764705882 -3y + y2 = 0 + -3.764705882 Combine like terms: 0 + -3.764705882 = -3.764705882 -3y + y2 = -3.764705882 The y term is -3y. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3y + 2.25 + y2 = -3.764705882 + 2.25 Reorder the terms: 2.25 + -3y + y2 = -3.764705882 + 2.25 Combine like terms: -3.764705882 + 2.25 = -1.514705882 2.25 + -3y + y2 = -1.514705882 Factor a perfect square on the left side: (y + -1.5)(y + -1.5) = -1.514705882 Can't calculate square root of the right side. The solution to this equation could not be determined.
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