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Simplifying 4 + 19 + 10p + -7 + 5p2 + 13 = 0 Reorder the terms: 4 + 19 + -7 + 13 + 10p + 5p2 = 0 Combine like terms: 4 + 19 = 23 23 + -7 + 13 + 10p + 5p2 = 0 Combine like terms: 23 + -7 = 16 16 + 13 + 10p + 5p2 = 0 Combine like terms: 16 + 13 = 29 29 + 10p + 5p2 = 0 Solving 29 + 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'. 5.8 + 2p + p2 = 0 Move the constant term to the right: Add '-5.8' to each side of the equation. 5.8 + 2p + -5.8 + p2 = 0 + -5.8 Reorder the terms: 5.8 + -5.8 + 2p + p2 = 0 + -5.8 Combine like terms: 5.8 + -5.8 = 0.0 0.0 + 2p + p2 = 0 + -5.8 2p + p2 = 0 + -5.8 Combine like terms: 0 + -5.8 = -5.8 2p + p2 = -5.8 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 = -5.8 + 1 Reorder the terms: 1 + 2p + p2 = -5.8 + 1 Combine like terms: -5.8 + 1 = -4.8 1 + 2p + p2 = -4.8 Factor a perfect square on the left side: (p + 1)(p + 1) = -4.8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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