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Simplifying 12y2 + -7y + 3 = 0 Reorder the terms: 3 + -7y + 12y2 = 0 Solving 3 + -7y + 12y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.25 + -0.5833333333y + y2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + -0.5833333333y + -0.25 + y2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + -0.5833333333y + y2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -0.5833333333y + y2 = 0 + -0.25 -0.5833333333y + y2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 -0.5833333333y + y2 = -0.25 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 = -0.25 + 0.08506944446 Reorder the terms: 0.08506944446 + -0.5833333333y + y2 = -0.25 + 0.08506944446 Combine like terms: -0.25 + 0.08506944446 = -0.16493055554 0.08506944446 + -0.5833333333y + y2 = -0.16493055554 Factor a perfect square on the left side: (y + -0.2916666667)(y + -0.2916666667) = -0.16493055554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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