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Simplifying p2 + 5p + 12 = 0 Reorder the terms: 12 + 5p + p2 = 0 Solving 12 + 5p + p2 = 0 Solving for variable 'p'. Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + 5p + -12 + p2 = 0 + -12 Reorder the terms: 12 + -12 + 5p + p2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5p + p2 = 0 + -12 5p + p2 = 0 + -12 Combine like terms: 0 + -12 = -12 5p + p2 = -12 The p term is 5p. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5p + 6.25 + p2 = -12 + 6.25 Reorder the terms: 6.25 + 5p + p2 = -12 + 6.25 Combine like terms: -12 + 6.25 = -5.75 6.25 + 5p + p2 = -5.75 Factor a perfect square on the left side: (p + 2.5)(p + 2.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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