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Simplifying (y2 + 14y + 54) = 0 Reorder the terms: (54 + 14y + y2) = 0 Remove parenthesis around (54 + 14y + y2) 54 + 14y + y2 = 0 Solving 54 + 14y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-54' to each side of the equation. 54 + 14y + -54 + y2 = 0 + -54 Reorder the terms: 54 + -54 + 14y + y2 = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 14y + y2 = 0 + -54 14y + y2 = 0 + -54 Combine like terms: 0 + -54 = -54 14y + y2 = -54 The y term is 14y. Take half its coefficient (7). Square it (49) and add it to both sides. Add '49' to each side of the equation. 14y + 49 + y2 = -54 + 49 Reorder the terms: 49 + 14y + y2 = -54 + 49 Combine like terms: -54 + 49 = -5 49 + 14y + y2 = -5 Factor a perfect square on the left side: (y + 7)(y + 7) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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