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Simplifying 5p2 + -6p + -3p + 22 = 0 Reorder the terms: 22 + -6p + -3p + 5p2 = 0 Combine like terms: -6p + -3p = -9p 22 + -9p + 5p2 = 0 Solving 22 + -9p + 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'. 4.4 + -1.8p + p2 = 0 Move the constant term to the right: Add '-4.4' to each side of the equation. 4.4 + -1.8p + -4.4 + p2 = 0 + -4.4 Reorder the terms: 4.4 + -4.4 + -1.8p + p2 = 0 + -4.4 Combine like terms: 4.4 + -4.4 = 0.0 0.0 + -1.8p + p2 = 0 + -4.4 -1.8p + p2 = 0 + -4.4 Combine like terms: 0 + -4.4 = -4.4 -1.8p + p2 = -4.4 The p term is -1.8p. Take half its coefficient (-0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. -1.8p + 0.81 + p2 = -4.4 + 0.81 Reorder the terms: 0.81 + -1.8p + p2 = -4.4 + 0.81 Combine like terms: -4.4 + 0.81 = -3.59 0.81 + -1.8p + p2 = -3.59 Factor a perfect square on the left side: (p + -0.9)(p + -0.9) = -3.59 Can't calculate square root of the right side. The solution to this equation could not be determined.
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