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Simplifying 16p2 + 16p + 53 = 8p2 Reorder the terms: 53 + 16p + 16p2 = 8p2 Solving 53 + 16p + 16p2 = 8p2 Solving for variable 'p'. Combine like terms: 16p2 + -8p2 = 8p2 53 + 16p + 8p2 = 8p2 + -8p2 Combine like terms: 8p2 + -8p2 = 0 53 + 16p + 8p2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 6.625 + 2p + p2 = 0 Move the constant term to the right: Add '-6.625' to each side of the equation. 6.625 + 2p + -6.625 + p2 = 0 + -6.625 Reorder the terms: 6.625 + -6.625 + 2p + p2 = 0 + -6.625 Combine like terms: 6.625 + -6.625 = 0.000 0.000 + 2p + p2 = 0 + -6.625 2p + p2 = 0 + -6.625 Combine like terms: 0 + -6.625 = -6.625 2p + p2 = -6.625 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 = -6.625 + 1 Reorder the terms: 1 + 2p + p2 = -6.625 + 1 Combine like terms: -6.625 + 1 = -5.625 1 + 2p + p2 = -5.625 Factor a perfect square on the left side: (p + 1)(p + 1) = -5.625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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