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Simplifying -12 = 12y2 + -7y Reorder the terms: -12 = -7y + 12y2 Solving -12 = -7y + 12y2 Solving for variable 'y'. Reorder the terms: -12 + 7y + -12y2 = -7y + 7y + 12y2 + -12y2 Combine like terms: -7y + 7y = 0 -12 + 7y + -12y2 = 0 + 12y2 + -12y2 -12 + 7y + -12y2 = 12y2 + -12y2 Combine like terms: 12y2 + -12y2 = 0 -12 + 7y + -12y2 = 0 Begin completing the square. Divide all terms by -12 the coefficient of the squared term: Divide each side by '-12'. 1 + -0.5833333333y + y2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.5833333333y + -1 + y2 = 0 + -1 Reorder the terms: 1 + -1 + -0.5833333333y + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.5833333333y + y2 = 0 + -1 -0.5833333333y + y2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.5833333333y + y2 = -1 The y term is -0.5833333333y. Take half its coefficient (-0.2916666667). Square it (0.08506944446) and add it to both sides. Add '0.08506944446' to each side of the equation. -0.5833333333y + 0.08506944446 + y2 = -1 + 0.08506944446 Reorder the terms: 0.08506944446 + -0.5833333333y + y2 = -1 + 0.08506944446 Combine like terms: -1 + 0.08506944446 = -0.91493055554 0.08506944446 + -0.5833333333y + y2 = -0.91493055554 Factor a perfect square on the left side: (y + -0.2916666667)(y + -0.2916666667) = -0.91493055554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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