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Simplifying 16y2 + 16y + 4 = -25 Reorder the terms: 4 + 16y + 16y2 = -25 Solving 4 + 16y + 16y2 = -25 Solving for variable 'y'. Reorder the terms: 4 + 25 + 16y + 16y2 = -25 + 25 Combine like terms: 4 + 25 = 29 29 + 16y + 16y2 = -25 + 25 Combine like terms: -25 + 25 = 0 29 + 16y + 16y2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.8125 + y + y2 = 0 Move the constant term to the right: Add '-1.8125' to each side of the equation. 1.8125 + y + -1.8125 + y2 = 0 + -1.8125 Reorder the terms: 1.8125 + -1.8125 + y + y2 = 0 + -1.8125 Combine like terms: 1.8125 + -1.8125 = 0.0000 0.0000 + y + y2 = 0 + -1.8125 y + y2 = 0 + -1.8125 Combine like terms: 0 + -1.8125 = -1.8125 y + y2 = -1.8125 The y term is y. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + y2 = -1.8125 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + y2 = -1.8125 + 0.25 Combine like terms: -1.8125 + 0.25 = -1.5625 1.25 + y2 = -1.5625 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = -1.5625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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