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Simplifying 7y2 + 12y + -5 = -14 Reorder the terms: -5 + 12y + 7y2 = -14 Solving -5 + 12y + 7y2 = -14 Solving for variable 'y'. Reorder the terms: -5 + 14 + 12y + 7y2 = -14 + 14 Combine like terms: -5 + 14 = 9 9 + 12y + 7y2 = -14 + 14 Combine like terms: -14 + 14 = 0 9 + 12y + 7y2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.285714286 + 1.714285714y + y2 = 0 Move the constant term to the right: Add '-1.285714286' to each side of the equation. 1.285714286 + 1.714285714y + -1.285714286 + y2 = 0 + -1.285714286 Reorder the terms: 1.285714286 + -1.285714286 + 1.714285714y + y2 = 0 + -1.285714286 Combine like terms: 1.285714286 + -1.285714286 = 0.000000000 0.000000000 + 1.714285714y + y2 = 0 + -1.285714286 1.714285714y + y2 = 0 + -1.285714286 Combine like terms: 0 + -1.285714286 = -1.285714286 1.714285714y + y2 = -1.285714286 The y term is 1.714285714y. Take half its coefficient (0.857142857). Square it (0.7346938773) and add it to both sides. Add '0.7346938773' to each side of the equation. 1.714285714y + 0.7346938773 + y2 = -1.285714286 + 0.7346938773 Reorder the terms: 0.7346938773 + 1.714285714y + y2 = -1.285714286 + 0.7346938773 Combine like terms: -1.285714286 + 0.7346938773 = -0.5510204087 0.7346938773 + 1.714285714y + y2 = -0.5510204087 Factor a perfect square on the left side: (y + 0.857142857)(y + 0.857142857) = -0.5510204087 Can't calculate square root of the right side. The solution to this equation could not be determined.
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