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Simplifying y2 + -16 = 2y2 + -6y + 1 Reorder the terms: -16 + y2 = 2y2 + -6y + 1 Reorder the terms: -16 + y2 = 1 + -6y + 2y2 Solving -16 + y2 = 1 + -6y + 2y2 Solving for variable 'y'. Reorder the terms: -16 + -1 + 6y + y2 + -2y2 = 1 + -6y + 2y2 + -1 + 6y + -2y2 Combine like terms: -16 + -1 = -17 -17 + 6y + y2 + -2y2 = 1 + -6y + 2y2 + -1 + 6y + -2y2 Combine like terms: y2 + -2y2 = -1y2 -17 + 6y + -1y2 = 1 + -6y + 2y2 + -1 + 6y + -2y2 Reorder the terms: -17 + 6y + -1y2 = 1 + -1 + -6y + 6y + 2y2 + -2y2 Combine like terms: 1 + -1 = 0 -17 + 6y + -1y2 = 0 + -6y + 6y + 2y2 + -2y2 -17 + 6y + -1y2 = -6y + 6y + 2y2 + -2y2 Combine like terms: -6y + 6y = 0 -17 + 6y + -1y2 = 0 + 2y2 + -2y2 -17 + 6y + -1y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -17 + 6y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 17 + -6y + y2 = 0 Move the constant term to the right: Add '-17' to each side of the equation. 17 + -6y + -17 + y2 = 0 + -17 Reorder the terms: 17 + -17 + -6y + y2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -6y + y2 = 0 + -17 -6y + y2 = 0 + -17 Combine like terms: 0 + -17 = -17 -6y + y2 = -17 The y term is -6y. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6y + 9 + y2 = -17 + 9 Reorder the terms: 9 + -6y + y2 = -17 + 9 Combine like terms: -17 + 9 = -8 9 + -6y + y2 = -8 Factor a perfect square on the left side: (y + -3)(y + -3) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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