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Simplifying p2 + 3p + 28 = 0 Reorder the terms: 28 + 3p + p2 = 0 Solving 28 + 3p + p2 = 0 Solving for variable 'p'. Begin completing the square. Move the constant term to the right: Add '-28' to each side of the equation. 28 + 3p + -28 + p2 = 0 + -28 Reorder the terms: 28 + -28 + 3p + p2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 3p + p2 = 0 + -28 3p + p2 = 0 + -28 Combine like terms: 0 + -28 = -28 3p + p2 = -28 The p term is 3p. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3p + 2.25 + p2 = -28 + 2.25 Reorder the terms: 2.25 + 3p + p2 = -28 + 2.25 Combine like terms: -28 + 2.25 = -25.75 2.25 + 3p + p2 = -25.75 Factor a perfect square on the left side: (p + 1.5)(p + 1.5) = -25.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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