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Simplifying 2p2 + -3p + 13 = 7 Reorder the terms: 13 + -3p + 2p2 = 7 Solving 13 + -3p + 2p2 = 7 Solving for variable 'p'. Reorder the terms: 13 + -7 + -3p + 2p2 = 7 + -7 Combine like terms: 13 + -7 = 6 6 + -3p + 2p2 = 7 + -7 Combine like terms: 7 + -7 = 0 6 + -3p + 2p2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 3 + -1.5p + p2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -1.5p + -3 + p2 = 0 + -3 Reorder the terms: 3 + -3 + -1.5p + p2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1.5p + p2 = 0 + -3 -1.5p + p2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1.5p + p2 = -3 The p term is -1.5p. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5p + 0.5625 + p2 = -3 + 0.5625 Reorder the terms: 0.5625 + -1.5p + p2 = -3 + 0.5625 Combine like terms: -3 + 0.5625 = -2.4375 0.5625 + -1.5p + p2 = -2.4375 Factor a perfect square on the left side: (p + -0.75)(p + -0.75) = -2.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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