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Simplifying 3p2 + 27p + 71 = 0 Reorder the terms: 71 + 27p + 3p2 = 0 Solving 71 + 27p + 3p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 23.66666667 + 9p + p2 = 0 Move the constant term to the right: Add '-23.66666667' to each side of the equation. 23.66666667 + 9p + -23.66666667 + p2 = 0 + -23.66666667 Reorder the terms: 23.66666667 + -23.66666667 + 9p + p2 = 0 + -23.66666667 Combine like terms: 23.66666667 + -23.66666667 = 0.00000000 0.00000000 + 9p + p2 = 0 + -23.66666667 9p + p2 = 0 + -23.66666667 Combine like terms: 0 + -23.66666667 = -23.66666667 9p + p2 = -23.66666667 The p term is 9p. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9p + 20.25 + p2 = -23.66666667 + 20.25 Reorder the terms: 20.25 + 9p + p2 = -23.66666667 + 20.25 Combine like terms: -23.66666667 + 20.25 = -3.41666667 20.25 + 9p + p2 = -3.41666667 Factor a perfect square on the left side: (p + 4.5)(p + 4.5) = -3.41666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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