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Simplifying p2 = 8p + -2 + -16 Reorder the terms: p2 = -2 + -16 + 8p Combine like terms: -2 + -16 = -18 p2 = -18 + 8p Solving p2 = -18 + 8p Solving for variable 'p'. Reorder the terms: 18 + -8p + p2 = -18 + 8p + 18 + -8p Reorder the terms: 18 + -8p + p2 = -18 + 18 + 8p + -8p Combine like terms: -18 + 18 = 0 18 + -8p + p2 = 0 + 8p + -8p 18 + -8p + p2 = 8p + -8p Combine like terms: 8p + -8p = 0 18 + -8p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + -8p + -18 + p2 = 0 + -18 Reorder the terms: 18 + -18 + -8p + p2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -8p + p2 = 0 + -18 -8p + p2 = 0 + -18 Combine like terms: 0 + -18 = -18 -8p + p2 = -18 The p term is -8p. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8p + 16 + p2 = -18 + 16 Reorder the terms: 16 + -8p + p2 = -18 + 16 Combine like terms: -18 + 16 = -2 16 + -8p + p2 = -2 Factor a perfect square on the left side: (p + -4)(p + -4) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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