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Simplifying 12y2 + 9y + 14 = 0 Reorder the terms: 14 + 9y + 12y2 = 0 Solving 14 + 9y + 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'. 1.166666667 + 0.75y + y2 = 0 Move the constant term to the right: Add '-1.166666667' to each side of the equation. 1.166666667 + 0.75y + -1.166666667 + y2 = 0 + -1.166666667 Reorder the terms: 1.166666667 + -1.166666667 + 0.75y + y2 = 0 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + 0.75y + y2 = 0 + -1.166666667 0.75y + y2 = 0 + -1.166666667 Combine like terms: 0 + -1.166666667 = -1.166666667 0.75y + y2 = -1.166666667 The y term is 0.75y. Take half its coefficient (0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. 0.75y + 0.140625 + y2 = -1.166666667 + 0.140625 Reorder the terms: 0.140625 + 0.75y + y2 = -1.166666667 + 0.140625 Combine like terms: -1.166666667 + 0.140625 = -1.026041667 0.140625 + 0.75y + y2 = -1.026041667 Factor a perfect square on the left side: (y + 0.375)(y + 0.375) = -1.026041667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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