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Simplifying 8p2 + -12p + 45 = 0 Reorder the terms: 45 + -12p + 8p2 = 0 Solving 45 + -12p + 8p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 5.625 + -1.5p + p2 = 0 Move the constant term to the right: Add '-5.625' to each side of the equation. 5.625 + -1.5p + -5.625 + p2 = 0 + -5.625 Reorder the terms: 5.625 + -5.625 + -1.5p + p2 = 0 + -5.625 Combine like terms: 5.625 + -5.625 = 0.000 0.000 + -1.5p + p2 = 0 + -5.625 -1.5p + p2 = 0 + -5.625 Combine like terms: 0 + -5.625 = -5.625 -1.5p + p2 = -5.625 The p term is -1.5p. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5p + 0.5625 + p2 = -5.625 + 0.5625 Reorder the terms: 0.5625 + -1.5p + p2 = -5.625 + 0.5625 Combine like terms: -5.625 + 0.5625 = -5.0625 0.5625 + -1.5p + p2 = -5.0625 Factor a perfect square on the left side: (p + -0.75)(p + -0.75) = -5.0625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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