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Simplifying p2 + 4p + 77 = 9 Reorder the terms: 77 + 4p + p2 = 9 Solving 77 + 4p + p2 = 9 Solving for variable 'p'. Reorder the terms: 77 + -9 + 4p + p2 = 9 + -9 Combine like terms: 77 + -9 = 68 68 + 4p + p2 = 9 + -9 Combine like terms: 9 + -9 = 0 68 + 4p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-68' to each side of the equation. 68 + 4p + -68 + p2 = 0 + -68 Reorder the terms: 68 + -68 + 4p + p2 = 0 + -68 Combine like terms: 68 + -68 = 0 0 + 4p + p2 = 0 + -68 4p + p2 = 0 + -68 Combine like terms: 0 + -68 = -68 4p + p2 = -68 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 = -68 + 4 Reorder the terms: 4 + 4p + p2 = -68 + 4 Combine like terms: -68 + 4 = -64 4 + 4p + p2 = -64 Factor a perfect square on the left side: (p + 2)(p + 2) = -64 Can't calculate square root of the right side. The solution to this equation could not be determined.
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