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Simplifying 7 + -1p2 + p + -15 = 0 Reorder the terms: 7 + -15 + p + -1p2 = 0 Combine like terms: 7 + -15 = -8 -8 + p + -1p2 = 0 Solving -8 + 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'. 8 + -1p + p2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -1p + -8 + p2 = 0 + -8 Reorder the terms: 8 + -8 + -1p + p2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1p + p2 = 0 + -8 -1p + p2 = 0 + -8 Combine like terms: 0 + -8 = -8 -1p + p2 = -8 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 = -8 + 0.25 Reorder the terms: 0.25 + -1p + p2 = -8 + 0.25 Combine like terms: -8 + 0.25 = -7.75 0.25 + -1p + p2 = -7.75 Factor a perfect square on the left side: (p + 0.5)(p + 0.5) = -7.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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