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Simplifying p2 + -10p = -45 Reorder the terms: -10p + p2 = -45 Solving -10p + p2 = -45 Solving for variable 'p'. Reorder the terms: 45 + -10p + p2 = -45 + 45 Combine like terms: -45 + 45 = 0 45 + -10p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-45' to each side of the equation. 45 + -10p + -45 + p2 = 0 + -45 Reorder the terms: 45 + -45 + -10p + p2 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -10p + p2 = 0 + -45 -10p + p2 = 0 + -45 Combine like terms: 0 + -45 = -45 -10p + p2 = -45 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 = -45 + 25 Reorder the terms: 25 + -10p + p2 = -45 + 25 Combine like terms: -45 + 25 = -20 25 + -10p + p2 = -20 Factor a perfect square on the left side: (p + -5)(p + -5) = -20 Can't calculate square root of the right side. The solution to this equation could not be determined.
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