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Simplifying p2 + -10p + 2500 = 0 Reorder the terms: 2500 + -10p + p2 = 0 Solving 2500 + -10p + p2 = 0 Solving for variable 'p'. Begin completing the square. Move the constant term to the right: Add '-2500' to each side of the equation. 2500 + -10p + -2500 + p2 = 0 + -2500 Reorder the terms: 2500 + -2500 + -10p + p2 = 0 + -2500 Combine like terms: 2500 + -2500 = 0 0 + -10p + p2 = 0 + -2500 -10p + p2 = 0 + -2500 Combine like terms: 0 + -2500 = -2500 -10p + p2 = -2500 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 = -2500 + 25 Reorder the terms: 25 + -10p + p2 = -2500 + 25 Combine like terms: -2500 + 25 = -2475 25 + -10p + p2 = -2475 Factor a perfect square on the left side: (p + -5)(p + -5) = -2475 Can't calculate square root of the right side. The solution to this equation could not be determined.
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