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Simplifying -3p + 10p + 5 = -8p2 Reorder the terms: 5 + -3p + 10p = -8p2 Combine like terms: -3p + 10p = 7p 5 + 7p = -8p2 Solving 5 + 7p = -8p2 Solving for variable 'p'. Combine like terms: -8p2 + 8p2 = 0 5 + 7p + 8p2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + 0.875p + p2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + 0.875p + -0.625 + p2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + 0.875p + p2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + 0.875p + p2 = 0 + -0.625 0.875p + p2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 0.875p + p2 = -0.625 The p term is 0.875p. Take half its coefficient (0.4375). Square it (0.19140625) and add it to both sides. Add '0.19140625' to each side of the equation. 0.875p + 0.19140625 + p2 = -0.625 + 0.19140625 Reorder the terms: 0.19140625 + 0.875p + p2 = -0.625 + 0.19140625 Combine like terms: -0.625 + 0.19140625 = -0.43359375 0.19140625 + 0.875p + p2 = -0.43359375 Factor a perfect square on the left side: (p + 0.4375)(p + 0.4375) = -0.43359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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