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Simplifying 8p2 + -16p = -15 Reorder the terms: -16p + 8p2 = -15 Solving -16p + 8p2 = -15 Solving for variable 'p'. Reorder the terms: 15 + -16p + 8p2 = -15 + 15 Combine like terms: -15 + 15 = 0 15 + -16p + 8p2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.875 + -2p + p2 = 0 Move the constant term to the right: Add '-1.875' to each side of the equation. 1.875 + -2p + -1.875 + p2 = 0 + -1.875 Reorder the terms: 1.875 + -1.875 + -2p + p2 = 0 + -1.875 Combine like terms: 1.875 + -1.875 = 0.000 0.000 + -2p + p2 = 0 + -1.875 -2p + p2 = 0 + -1.875 Combine like terms: 0 + -1.875 = -1.875 -2p + p2 = -1.875 The p term is -2p. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2p + 1 + p2 = -1.875 + 1 Reorder the terms: 1 + -2p + p2 = -1.875 + 1 Combine like terms: -1.875 + 1 = -0.875 1 + -2p + p2 = -0.875 Factor a perfect square on the left side: (p + -1)(p + -1) = -0.875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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