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Simplifying 2y2 + 11y = y2 + 3y + -28 Reorder the terms: 11y + 2y2 = y2 + 3y + -28 Reorder the terms: 11y + 2y2 = -28 + 3y + y2 Solving 11y + 2y2 = -28 + 3y + y2 Solving for variable 'y'. Reorder the terms: 28 + 11y + -3y + 2y2 + -1y2 = -28 + 3y + y2 + 28 + -3y + -1y2 Combine like terms: 11y + -3y = 8y 28 + 8y + 2y2 + -1y2 = -28 + 3y + y2 + 28 + -3y + -1y2 Combine like terms: 2y2 + -1y2 = 1y2 28 + 8y + 1y2 = -28 + 3y + y2 + 28 + -3y + -1y2 Reorder the terms: 28 + 8y + 1y2 = -28 + 28 + 3y + -3y + y2 + -1y2 Combine like terms: -28 + 28 = 0 28 + 8y + 1y2 = 0 + 3y + -3y + y2 + -1y2 28 + 8y + 1y2 = 3y + -3y + y2 + -1y2 Combine like terms: 3y + -3y = 0 28 + 8y + 1y2 = 0 + y2 + -1y2 28 + 8y + 1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 28 + 8y + 1y2 = 0 Begin completing the square. Move the constant term to the right: Add '-28' to each side of the equation. 28 + 8y + -28 + y2 = 0 + -28 Reorder the terms: 28 + -28 + 8y + y2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 8y + y2 = 0 + -28 8y + y2 = 0 + -28 Combine like terms: 0 + -28 = -28 8y + y2 = -28 The y term is 8y. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8y + 16 + y2 = -28 + 16 Reorder the terms: 16 + 8y + y2 = -28 + 16 Combine like terms: -28 + 16 = -12 16 + 8y + y2 = -12 Factor a perfect square on the left side: (y + 4)(y + 4) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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