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Simplifying 8p2 + 8p + 3 = 0 Reorder the terms: 3 + 8p + 8p2 = 0 Solving 3 + 8p + 8p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.375 + p + p2 = 0 Move the constant term to the right: Add '-0.375' to each side of the equation. 0.375 + p + -0.375 + p2 = 0 + -0.375 Reorder the terms: 0.375 + -0.375 + p + p2 = 0 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + p + p2 = 0 + -0.375 p + p2 = 0 + -0.375 Combine like terms: 0 + -0.375 = -0.375 p + p2 = -0.375 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. + 0.25 + p2 = -0.375 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + p2 = -0.375 + 0.25 Combine like terms: -0.375 + 0.25 = -0.125 1.25 + p2 = -0.125 Factor a perfect square on the left side: (p + 0.5)(p + 0.5) = -0.125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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