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Simplifying 7p2 + p + -3 = -9 Reorder the terms: -3 + p + 7p2 = -9 Solving -3 + p + 7p2 = -9 Solving for variable 'p'. Reorder the terms: -3 + 9 + p + 7p2 = -9 + 9 Combine like terms: -3 + 9 = 6 6 + p + 7p2 = -9 + 9 Combine like terms: -9 + 9 = 0 6 + p + 7p2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.8571428571 + 0.1428571429p + p2 = 0 Move the constant term to the right: Add '-0.8571428571' to each side of the equation. 0.8571428571 + 0.1428571429p + -0.8571428571 + p2 = 0 + -0.8571428571 Reorder the terms: 0.8571428571 + -0.8571428571 + 0.1428571429p + p2 = 0 + -0.8571428571 Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000 0.0000000000 + 0.1428571429p + p2 = 0 + -0.8571428571 0.1428571429p + p2 = 0 + -0.8571428571 Combine like terms: 0 + -0.8571428571 = -0.8571428571 0.1428571429p + p2 = -0.8571428571 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. 0.1428571429p + 0.25 + p2 = -0.8571428571 + 0.25 Reorder the terms: 0.25 + 0.1428571429p + p2 = -0.8571428571 + 0.25 Combine like terms: -0.8571428571 + 0.25 = -0.6071428571 0.25 + 0.1428571429p + p2 = -0.6071428571 Factor a perfect square on the left side: (p + 0.5)(p + 0.5) = -0.6071428571 Can't calculate square root of the right side. The solution to this equation could not be determined.
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