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Simplifying 9p2 + 56 = 18p Reorder the terms: 56 + 9p2 = 18p Solving 56 + 9p2 = 18p Solving for variable 'p'. Reorder the terms: 56 + -18p + 9p2 = 18p + -18p Combine like terms: 18p + -18p = 0 56 + -18p + 9p2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 6.222222222 + -2p + p2 = 0 Move the constant term to the right: Add '-6.222222222' to each side of the equation. 6.222222222 + -2p + -6.222222222 + p2 = 0 + -6.222222222 Reorder the terms: 6.222222222 + -6.222222222 + -2p + p2 = 0 + -6.222222222 Combine like terms: 6.222222222 + -6.222222222 = 0.000000000 0.000000000 + -2p + p2 = 0 + -6.222222222 -2p + p2 = 0 + -6.222222222 Combine like terms: 0 + -6.222222222 = -6.222222222 -2p + p2 = -6.222222222 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 = -6.222222222 + 1 Reorder the terms: 1 + -2p + p2 = -6.222222222 + 1 Combine like terms: -6.222222222 + 1 = -5.222222222 1 + -2p + p2 = -5.222222222 Factor a perfect square on the left side: (p + -1)(p + -1) = -5.222222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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