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Simplifying 300 + (p2) = 3p 300 + p2 = 3p Solving 300 + p2 = 3p Solving for variable 'p'. Reorder the terms: 300 + -3p + p2 = 3p + -3p Combine like terms: 3p + -3p = 0 300 + -3p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-300' to each side of the equation. 300 + -3p + -300 + p2 = 0 + -300 Reorder the terms: 300 + -300 + -3p + p2 = 0 + -300 Combine like terms: 300 + -300 = 0 0 + -3p + p2 = 0 + -300 -3p + p2 = 0 + -300 Combine like terms: 0 + -300 = -300 -3p + p2 = -300 The p term is -3p. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3p + 2.25 + p2 = -300 + 2.25 Reorder the terms: 2.25 + -3p + p2 = -300 + 2.25 Combine like terms: -300 + 2.25 = -297.75 2.25 + -3p + p2 = -297.75 Factor a perfect square on the left side: (p + -1.5)(p + -1.5) = -297.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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