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Simplifying p2 + 7p = -24 Reorder the terms: 7p + p2 = -24 Solving 7p + p2 = -24 Solving for variable 'p'. Reorder the terms: 24 + 7p + p2 = -24 + 24 Combine like terms: -24 + 24 = 0 24 + 7p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + 7p + -24 + p2 = 0 + -24 Reorder the terms: 24 + -24 + 7p + p2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 7p + p2 = 0 + -24 7p + p2 = 0 + -24 Combine like terms: 0 + -24 = -24 7p + p2 = -24 The p term is 7p. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7p + 12.25 + p2 = -24 + 12.25 Reorder the terms: 12.25 + 7p + p2 = -24 + 12.25 Combine like terms: -24 + 12.25 = -11.75 12.25 + 7p + p2 = -11.75 Factor a perfect square on the left side: (p + 3.5)(p + 3.5) = -11.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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