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Simplifying 0 = y2 + -6y + 14 Reorder the terms: 0 = 14 + -6y + y2 Solving 0 = 14 + -6y + y2 Solving for variable 'y'. Combine like terms: 0 + -14 = -14 -14 + 6y + -1y2 = 14 + -6y + y2 + -14 + 6y + -1y2 Reorder the terms: -14 + 6y + -1y2 = 14 + -14 + -6y + 6y + y2 + -1y2 Combine like terms: 14 + -14 = 0 -14 + 6y + -1y2 = 0 + -6y + 6y + y2 + -1y2 -14 + 6y + -1y2 = -6y + 6y + y2 + -1y2 Combine like terms: -6y + 6y = 0 -14 + 6y + -1y2 = 0 + y2 + -1y2 -14 + 6y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -14 + 6y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 14 + -6y + y2 = 0 Move the constant term to the right: Add '-14' to each side of the equation. 14 + -6y + -14 + y2 = 0 + -14 Reorder the terms: 14 + -14 + -6y + y2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -6y + y2 = 0 + -14 -6y + y2 = 0 + -14 Combine like terms: 0 + -14 = -14 -6y + y2 = -14 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 = -14 + 9 Reorder the terms: 9 + -6y + y2 = -14 + 9 Combine like terms: -14 + 9 = -5 9 + -6y + y2 = -5 Factor a perfect square on the left side: (y + -3)(y + -3) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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