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Simplifying 5p(p + 2) + 4(p + 4) = 0 Reorder the terms: 5p(2 + p) + 4(p + 4) = 0 (2 * 5p + p * 5p) + 4(p + 4) = 0 (10p + 5p2) + 4(p + 4) = 0 Reorder the terms: 10p + 5p2 + 4(4 + p) = 0 10p + 5p2 + (4 * 4 + p * 4) = 0 10p + 5p2 + (16 + 4p) = 0 Reorder the terms: 16 + 10p + 4p + 5p2 = 0 Combine like terms: 10p + 4p = 14p 16 + 14p + 5p2 = 0 Solving 16 + 14p + 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'. 3.2 + 2.8p + p2 = 0 Move the constant term to the right: Add '-3.2' to each side of the equation. 3.2 + 2.8p + -3.2 + p2 = 0 + -3.2 Reorder the terms: 3.2 + -3.2 + 2.8p + p2 = 0 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 2.8p + p2 = 0 + -3.2 2.8p + p2 = 0 + -3.2 Combine like terms: 0 + -3.2 = -3.2 2.8p + p2 = -3.2 The p term is 2.8p. Take half its coefficient (1.4). Square it (1.96) and add it to both sides. Add '1.96' to each side of the equation. 2.8p + 1.96 + p2 = -3.2 + 1.96 Reorder the terms: 1.96 + 2.8p + p2 = -3.2 + 1.96 Combine like terms: -3.2 + 1.96 = -1.24 1.96 + 2.8p + p2 = -1.24 Factor a perfect square on the left side: (p + 1.4)(p + 1.4) = -1.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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