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Simplifying y2 + -2y2 + 6y + -12 = 0 Reorder the terms: -12 + 6y + y2 + -2y2 = 0 Combine like terms: y2 + -2y2 = -1y2 -12 + 6y + -1y2 = 0 Solving -12 + 6y + -1y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 12 + -6y + y2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -6y + -12 + y2 = 0 + -12 Reorder the terms: 12 + -12 + -6y + y2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6y + y2 = 0 + -12 -6y + y2 = 0 + -12 Combine like terms: 0 + -12 = -12 -6y + y2 = -12 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 = -12 + 9 Reorder the terms: 9 + -6y + y2 = -12 + 9 Combine like terms: -12 + 9 = -3 9 + -6y + y2 = -3 Factor a perfect square on the left side: (y + -3)(y + -3) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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