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Simplifying p2 + -2p + -1 + 4p + -6 + -3p2 = 0 Reorder the terms: -1 + -6 + -2p + 4p + p2 + -3p2 = 0 Combine like terms: -1 + -6 = -7 -7 + -2p + 4p + p2 + -3p2 = 0 Combine like terms: -2p + 4p = 2p -7 + 2p + p2 + -3p2 = 0 Combine like terms: p2 + -3p2 = -2p2 -7 + 2p + -2p2 = 0 Solving -7 + 2p + -2p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 3.5 + -1p + p2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + -1p + -3.5 + p2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + -1p + p2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -1p + p2 = 0 + -3.5 -1p + p2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 -1p + p2 = -3.5 The p term is -1p. 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 = -3.5 + 0.25 Reorder the terms: 0.25 + -1p + p2 = -3.5 + 0.25 Combine like terms: -3.5 + 0.25 = -3.25 0.25 + -1p + p2 = -3.25 Factor a perfect square on the left side: (p + -0.5)(p + -0.5) = -3.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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