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Simplifying 5y2 + 14y + 16 = 0 Reorder the terms: 16 + 14y + 5y2 = 0 Solving 16 + 14y + 5y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 3.2 + 2.8y + y2 = 0 Move the constant term to the right: Add '-3.2' to each side of the equation. 3.2 + 2.8y + -3.2 + y2 = 0 + -3.2 Reorder the terms: 3.2 + -3.2 + 2.8y + y2 = 0 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 2.8y + y2 = 0 + -3.2 2.8y + y2 = 0 + -3.2 Combine like terms: 0 + -3.2 = -3.2 2.8y + y2 = -3.2 The y term is 2.8y. Take half its coefficient (1.4). Square it (1.96) and add it to both sides. Add '1.96' to each side of the equation. 2.8y + 1.96 + y2 = -3.2 + 1.96 Reorder the terms: 1.96 + 2.8y + y2 = -3.2 + 1.96 Combine like terms: -3.2 + 1.96 = -1.24 1.96 + 2.8y + y2 = -1.24 Factor a perfect square on the left side: (y + 1.4)(y + 1.4) = -1.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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