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Simplifying 4y2 + 16y + 21 = 0 Reorder the terms: 21 + 16y + 4y2 = 0 Solving 21 + 16y + 4y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 5.25 + 4y + y2 = 0 Move the constant term to the right: Add '-5.25' to each side of the equation. 5.25 + 4y + -5.25 + y2 = 0 + -5.25 Reorder the terms: 5.25 + -5.25 + 4y + y2 = 0 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + 4y + y2 = 0 + -5.25 4y + y2 = 0 + -5.25 Combine like terms: 0 + -5.25 = -5.25 4y + y2 = -5.25 The y term is 4y. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4y + 4 + y2 = -5.25 + 4 Reorder the terms: 4 + 4y + y2 = -5.25 + 4 Combine like terms: -5.25 + 4 = -1.25 4 + 4y + y2 = -1.25 Factor a perfect square on the left side: (y + 2)(y + 2) = -1.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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