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Simplifying 7p2 + 11 = -2p Reorder the terms: 11 + 7p2 = -2p Solving 11 + 7p2 = -2p Solving for variable 'p'. Reorder the terms: 11 + 2p + 7p2 = -2p + 2p Combine like terms: -2p + 2p = 0 11 + 2p + 7p2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.571428571 + 0.2857142857p + p2 = 0 Move the constant term to the right: Add '-1.571428571' to each side of the equation. 1.571428571 + 0.2857142857p + -1.571428571 + p2 = 0 + -1.571428571 Reorder the terms: 1.571428571 + -1.571428571 + 0.2857142857p + p2 = 0 + -1.571428571 Combine like terms: 1.571428571 + -1.571428571 = 0.000000000 0.000000000 + 0.2857142857p + p2 = 0 + -1.571428571 0.2857142857p + p2 = 0 + -1.571428571 Combine like terms: 0 + -1.571428571 = -1.571428571 0.2857142857p + p2 = -1.571428571 The p term is 0.2857142857p. Take half its coefficient (0.1428571429). Square it (0.02040816328) and add it to both sides. Add '0.02040816328' to each side of the equation. 0.2857142857p + 0.02040816328 + p2 = -1.571428571 + 0.02040816328 Reorder the terms: 0.02040816328 + 0.2857142857p + p2 = -1.571428571 + 0.02040816328 Combine like terms: -1.571428571 + 0.02040816328 = -1.55102040772 0.02040816328 + 0.2857142857p + p2 = -1.55102040772 Factor a perfect square on the left side: (p + 0.1428571429)(p + 0.1428571429) = -1.55102040772 Can't calculate square root of the right side. The solution to this equation could not be determined.
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