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Simplifying p2 + 0.5p + 11 = 0 Reorder the terms: 11 + 0.5p + p2 = 0 Solving 11 + 0.5p + p2 = 0 Solving for variable 'p'. Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + 0.5p + -11 + p2 = 0 + -11 Reorder the terms: 11 + -11 + 0.5p + p2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 0.5p + p2 = 0 + -11 0.5p + p2 = 0 + -11 Combine like terms: 0 + -11 = -11 0.5p + p2 = -11 The p term is 0.5p. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5p + 0.0625 + p2 = -11 + 0.0625 Reorder the terms: 0.0625 + 0.5p + p2 = -11 + 0.0625 Combine like terms: -11 + 0.0625 = -10.9375 0.0625 + 0.5p + p2 = -10.9375 Factor a perfect square on the left side: (p + 0.25)(p + 0.25) = -10.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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