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Simplifying p2 = -86 + -18p Solving p2 = -86 + -18p Solving for variable 'p'. Reorder the terms: 86 + 18p + p2 = -86 + -18p + 86 + 18p Reorder the terms: 86 + 18p + p2 = -86 + 86 + -18p + 18p Combine like terms: -86 + 86 = 0 86 + 18p + p2 = 0 + -18p + 18p 86 + 18p + p2 = -18p + 18p Combine like terms: -18p + 18p = 0 86 + 18p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-86' to each side of the equation. 86 + 18p + -86 + p2 = 0 + -86 Reorder the terms: 86 + -86 + 18p + p2 = 0 + -86 Combine like terms: 86 + -86 = 0 0 + 18p + p2 = 0 + -86 18p + p2 = 0 + -86 Combine like terms: 0 + -86 = -86 18p + p2 = -86 The p term is 18p. Take half its coefficient (9). Square it (81) and add it to both sides. Add '81' to each side of the equation. 18p + 81 + p2 = -86 + 81 Reorder the terms: 81 + 18p + p2 = -86 + 81 Combine like terms: -86 + 81 = -5 81 + 18p + p2 = -5 Factor a perfect square on the left side: (p + 9)(p + 9) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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