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Simplifying -1p2 = -1p + 4 Reorder the terms: -1p2 = 4 + -1p Solving -1p2 = 4 + -1p Solving for variable 'p'. Reorder the terms: -4 + p + -1p2 = 4 + -1p + -4 + p Reorder the terms: -4 + p + -1p2 = 4 + -4 + -1p + p Combine like terms: 4 + -4 = 0 -4 + p + -1p2 = 0 + -1p + p -4 + p + -1p2 = -1p + p Combine like terms: -1p + p = 0 -4 + p + -1p2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 4 + -1p + p2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -1p + -4 + p2 = 0 + -4 Reorder the terms: 4 + -4 + -1p + p2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1p + p2 = 0 + -4 -1p + p2 = 0 + -4 Combine like terms: 0 + -4 = -4 -1p + p2 = -4 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 = -4 + 0.25 Reorder the terms: 0.25 + -1p + p2 = -4 + 0.25 Combine like terms: -4 + 0.25 = -3.75 0.25 + -1p + p2 = -3.75 Factor a perfect square on the left side: (p + 0.5)(p + 0.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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