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Simplifying p2 + -20p + 200 = 0 Reorder the terms: 200 + -20p + p2 = 0 Solving 200 + -20p + p2 = 0 Solving for variable 'p'. Begin completing the square. Move the constant term to the right: Add '-200' to each side of the equation. 200 + -20p + -200 + p2 = 0 + -200 Reorder the terms: 200 + -200 + -20p + p2 = 0 + -200 Combine like terms: 200 + -200 = 0 0 + -20p + p2 = 0 + -200 -20p + p2 = 0 + -200 Combine like terms: 0 + -200 = -200 -20p + p2 = -200 The p term is -20p. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20p + 100 + p2 = -200 + 100 Reorder the terms: 100 + -20p + p2 = -200 + 100 Combine like terms: -200 + 100 = -100 100 + -20p + p2 = -100 Factor a perfect square on the left side: (p + -10)(p + -10) = -100 Can't calculate square root of the right side. The solution to this equation could not be determined.
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