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Simplifying p2 + 11p + 100 = 0 Reorder the terms: 100 + 11p + p2 = 0 Solving 100 + 11p + p2 = 0 Solving for variable 'p'. Begin completing the square. Move the constant term to the right: Add '-100' to each side of the equation. 100 + 11p + -100 + p2 = 0 + -100 Reorder the terms: 100 + -100 + 11p + p2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 11p + p2 = 0 + -100 11p + p2 = 0 + -100 Combine like terms: 0 + -100 = -100 11p + p2 = -100 The p term is 11p. Take half its coefficient (5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. 11p + 30.25 + p2 = -100 + 30.25 Reorder the terms: 30.25 + 11p + p2 = -100 + 30.25 Combine like terms: -100 + 30.25 = -69.75 30.25 + 11p + p2 = -69.75 Factor a perfect square on the left side: (p + 5.5)(p + 5.5) = -69.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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