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Simplifying 2p2 + 5 = p Reorder the terms: 5 + 2p2 = p Solving 5 + 2p2 = p Solving for variable 'p'. Reorder the terms: 5 + -1p + 2p2 = p + -1p Combine like terms: p + -1p = 0 5 + -1p + 2p2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 2.5 + -0.5p + p2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + -0.5p + -2.5 + p2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + -0.5p + p2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -0.5p + p2 = 0 + -2.5 -0.5p + p2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -0.5p + p2 = -2.5 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 = -2.5 + 0.0625 Reorder the terms: 0.0625 + -0.5p + p2 = -2.5 + 0.0625 Combine like terms: -2.5 + 0.0625 = -2.4375 0.0625 + -0.5p + p2 = -2.4375 Factor a perfect square on the left side: (p + -0.25)(p + -0.25) = -2.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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