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Simplifying (p + 2)(p + 2) = -25 Reorder the terms: (2 + p)(p + 2) = -25 Reorder the terms: (2 + p)(2 + p) = -25 Multiply (2 + p) * (2 + p) (2(2 + p) + p(2 + p)) = -25 ((2 * 2 + p * 2) + p(2 + p)) = -25 ((4 + 2p) + p(2 + p)) = -25 (4 + 2p + (2 * p + p * p)) = -25 (4 + 2p + (2p + p2)) = -25 Combine like terms: 2p + 2p = 4p (4 + 4p + p2) = -25 Solving 4 + 4p + p2 = -25 Solving for variable 'p'. Reorder the terms: 4 + 25 + 4p + p2 = -25 + 25 Combine like terms: 4 + 25 = 29 29 + 4p + p2 = -25 + 25 Combine like terms: -25 + 25 = 0 29 + 4p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-29' to each side of the equation. 29 + 4p + -29 + p2 = 0 + -29 Reorder the terms: 29 + -29 + 4p + p2 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 4p + p2 = 0 + -29 4p + p2 = 0 + -29 Combine like terms: 0 + -29 = -29 4p + p2 = -29 The p term is 4p. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4p + 4 + p2 = -29 + 4 Reorder the terms: 4 + 4p + p2 = -29 + 4 Combine like terms: -29 + 4 = -25 4 + 4p + p2 = -25 Factor a perfect square on the left side: (p + 2)(p + 2) = -25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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