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Simplifying 6y2 + -7y + 12 = 0 Reorder the terms: 12 + -7y + 6y2 = 0 Solving 12 + -7y + 6y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 2 + -1.166666667y + y2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -1.166666667y + -2 + y2 = 0 + -2 Reorder the terms: 2 + -2 + -1.166666667y + y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1.166666667y + y2 = 0 + -2 -1.166666667y + y2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1.166666667y + y2 = -2 The y term is -1.166666667y. Take half its coefficient (-0.5833333335). Square it (0.3402777780) and add it to both sides. Add '0.3402777780' to each side of the equation. -1.166666667y + 0.3402777780 + y2 = -2 + 0.3402777780 Reorder the terms: 0.3402777780 + -1.166666667y + y2 = -2 + 0.3402777780 Combine like terms: -2 + 0.3402777780 = -1.659722222 0.3402777780 + -1.166666667y + y2 = -1.659722222 Factor a perfect square on the left side: (y + -0.5833333335)(y + -0.5833333335) = -1.659722222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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