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Simplifying (5p2) + -10p + 24 = 0 Reorder the terms: 24 + -10p + (5p2) = 0 Solving 24 + -10p + (5p2) = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 4.8 + -2p + p2 = 0 Move the constant term to the right: Add '-4.8' to each side of the equation. 4.8 + -2p + -4.8 + p2 = 0 + -4.8 Reorder the terms: 4.8 + -4.8 + -2p + p2 = 0 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + -2p + p2 = 0 + -4.8 -2p + p2 = 0 + -4.8 Combine like terms: 0 + -4.8 = -4.8 -2p + p2 = -4.8 The p term is -2p. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2p + 1 + p2 = -4.8 + 1 Reorder the terms: 1 + -2p + p2 = -4.8 + 1 Combine like terms: -4.8 + 1 = -3.8 1 + -2p + p2 = -3.8 Factor a perfect square on the left side: ((p) + -1)((p) + -1) = -3.8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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