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Simplifying p2 + -10p + 62 = -4 Reorder the terms: 62 + -10p + p2 = -4 Solving 62 + -10p + p2 = -4 Solving for variable 'p'. Reorder the terms: 62 + 4 + -10p + p2 = -4 + 4 Combine like terms: 62 + 4 = 66 66 + -10p + p2 = -4 + 4 Combine like terms: -4 + 4 = 0 66 + -10p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-66' to each side of the equation. 66 + -10p + -66 + p2 = 0 + -66 Reorder the terms: 66 + -66 + -10p + p2 = 0 + -66 Combine like terms: 66 + -66 = 0 0 + -10p + p2 = 0 + -66 -10p + p2 = 0 + -66 Combine like terms: 0 + -66 = -66 -10p + p2 = -66 The p term is -10p. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10p + 25 + p2 = -66 + 25 Reorder the terms: 25 + -10p + p2 = -66 + 25 Combine like terms: -66 + 25 = -41 25 + -10p + p2 = -41 Factor a perfect square on the left side: (p + -5)(p + -5) = -41 Can't calculate square root of the right side. The solution to this equation could not be determined.
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