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Simplifying p + -1p2 + -49 = 0 Reorder the terms: -49 + p + -1p2 = 0 Solving -49 + p + -1p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 49 + -1p + p2 = 0 Move the constant term to the right: Add '-49' to each side of the equation. 49 + -1p + -49 + p2 = 0 + -49 Reorder the terms: 49 + -49 + -1p + p2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -1p + p2 = 0 + -49 -1p + p2 = 0 + -49 Combine like terms: 0 + -49 = -49 -1p + p2 = -49 The p term is p. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1p + 0.25 + p2 = -49 + 0.25 Reorder the terms: 0.25 + -1p + p2 = -49 + 0.25 Combine like terms: -49 + 0.25 = -48.75 0.25 + -1p + p2 = -48.75 Factor a perfect square on the left side: (p + 0.5)(p + 0.5) = -48.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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