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Simplifying 0 = -1p2 + 28p + -276 Reorder the terms: 0 = -276 + 28p + -1p2 Solving 0 = -276 + 28p + -1p2 Solving for variable 'p'. Combine like terms: 0 + 276 = 276 276 + -28p + p2 = -276 + 28p + -1p2 + 276 + -28p + p2 Reorder the terms: 276 + -28p + p2 = -276 + 276 + 28p + -28p + -1p2 + p2 Combine like terms: -276 + 276 = 0 276 + -28p + p2 = 0 + 28p + -28p + -1p2 + p2 276 + -28p + p2 = 28p + -28p + -1p2 + p2 Combine like terms: 28p + -28p = 0 276 + -28p + p2 = 0 + -1p2 + p2 276 + -28p + p2 = -1p2 + p2 Combine like terms: -1p2 + p2 = 0 276 + -28p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-276' to each side of the equation. 276 + -28p + -276 + p2 = 0 + -276 Reorder the terms: 276 + -276 + -28p + p2 = 0 + -276 Combine like terms: 276 + -276 = 0 0 + -28p + p2 = 0 + -276 -28p + p2 = 0 + -276 Combine like terms: 0 + -276 = -276 -28p + p2 = -276 The p term is -28p. Take half its coefficient (-14). Square it (196) and add it to both sides. Add '196' to each side of the equation. -28p + 196 + p2 = -276 + 196 Reorder the terms: 196 + -28p + p2 = -276 + 196 Combine like terms: -276 + 196 = -80 196 + -28p + p2 = -80 Factor a perfect square on the left side: (p + -14)(p + -14) = -80 Can't calculate square root of the right side. The solution to this equation could not be determined.
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