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Simplifying -4p(2p + -1) = 45 Reorder the terms: -4p(-1 + 2p) = 45 (-1 * -4p + 2p * -4p) = 45 (4p + -8p2) = 45 Solving 4p + -8p2 = 45 Solving for variable 'p'. Reorder the terms: -45 + 4p + -8p2 = 45 + -45 Combine like terms: 45 + -45 = 0 -45 + 4p + -8p2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 5.625 + -0.5p + p2 = 0 Move the constant term to the right: Add '-5.625' to each side of the equation. 5.625 + -0.5p + -5.625 + p2 = 0 + -5.625 Reorder the terms: 5.625 + -5.625 + -0.5p + p2 = 0 + -5.625 Combine like terms: 5.625 + -5.625 = 0.000 0.000 + -0.5p + p2 = 0 + -5.625 -0.5p + p2 = 0 + -5.625 Combine like terms: 0 + -5.625 = -5.625 -0.5p + p2 = -5.625 The p term is -0.5p. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5p + 0.0625 + p2 = -5.625 + 0.0625 Reorder the terms: 0.0625 + -0.5p + p2 = -5.625 + 0.0625 Combine like terms: -5.625 + 0.0625 = -5.5625 0.0625 + -0.5p + p2 = -5.5625 Factor a perfect square on the left side: (p + -0.25)(p + -0.25) = -5.5625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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