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Simplifying p + -1p2 = 0.42 Solving p + -1p2 = 0.42 Solving for variable 'p'. Reorder the terms: -0.42 + p + -1p2 = 0.42 + -0.42 Combine like terms: 0.42 + -0.42 = 0.00 -0.42 + p + -1p2 = 0.00 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 0.42 + -1p + p2 = 0.00 Move the constant term to the right: Add '-0.42' to each side of the equation. 0.42 + -1p + -0.42 + p2 = 0.00 + -0.42 Reorder the terms: 0.42 + -0.42 + -1p + p2 = 0.00 + -0.42 Combine like terms: 0.42 + -0.42 = 0.00 0.00 + -1p + p2 = 0.00 + -0.42 -1p + p2 = 0.00 + -0.42 Combine like terms: 0.00 + -0.42 = -0.42 -1p + p2 = -0.42 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 = -0.42 + 0.25 Reorder the terms: 0.25 + -1p + p2 = -0.42 + 0.25 Combine like terms: -0.42 + 0.25 = -0.17 0.25 + -1p + p2 = -0.17 Factor a perfect square on the left side: (p + 0.5)(p + 0.5) = -0.17 Can't calculate square root of the right side. The solution to this equation could not be determined.
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