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Simplifying p2 + 12 = -3p Reorder the terms: 12 + p2 = -3p Solving 12 + p2 = -3p Solving for variable 'p'. Reorder the terms: 12 + 3p + p2 = -3p + 3p Combine like terms: -3p + 3p = 0 12 + 3p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + 3p + -12 + p2 = 0 + -12 Reorder the terms: 12 + -12 + 3p + p2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3p + p2 = 0 + -12 3p + p2 = 0 + -12 Combine like terms: 0 + -12 = -12 3p + p2 = -12 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 = -12 + 2.25 Reorder the terms: 2.25 + 3p + p2 = -12 + 2.25 Combine like terms: -12 + 2.25 = -9.75 2.25 + 3p + p2 = -9.75 Factor a perfect square on the left side: (p + 1.5)(p + 1.5) = -9.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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