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Simplifying (p2 + 2p + 20) = 0 Reorder the terms: (20 + 2p + p2) = 0 Remove parenthesis around (20 + 2p + p2) 20 + 2p + p2 = 0 Solving 20 + 2p + p2 = 0 Solving for variable 'p'. Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + 2p + -20 + p2 = 0 + -20 Reorder the terms: 20 + -20 + 2p + p2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 2p + p2 = 0 + -20 2p + p2 = 0 + -20 Combine like terms: 0 + -20 = -20 2p + p2 = -20 The p term is 2p. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2p + 1 + p2 = -20 + 1 Reorder the terms: 1 + 2p + p2 = -20 + 1 Combine like terms: -20 + 1 = -19 1 + 2p + p2 = -19 Factor a perfect square on the left side: (p + 1)(p + 1) = -19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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