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Simplifying p2 + 92 = 14p Reorder the terms: 92 + p2 = 14p Solving 92 + p2 = 14p Solving for variable 'p'. Reorder the terms: 92 + -14p + p2 = 14p + -14p Combine like terms: 14p + -14p = 0 92 + -14p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-92' to each side of the equation. 92 + -14p + -92 + p2 = 0 + -92 Reorder the terms: 92 + -92 + -14p + p2 = 0 + -92 Combine like terms: 92 + -92 = 0 0 + -14p + p2 = 0 + -92 -14p + p2 = 0 + -92 Combine like terms: 0 + -92 = -92 -14p + p2 = -92 The p term is -14p. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14p + 49 + p2 = -92 + 49 Reorder the terms: 49 + -14p + p2 = -92 + 49 Combine like terms: -92 + 49 = -43 49 + -14p + p2 = -43 Factor a perfect square on the left side: (p + -7)(p + -7) = -43 Can't calculate square root of the right side. The solution to this equation could not be determined.
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