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Simplifying 30 = -1p2 + p Reorder the terms: 30 = p + -1p2 Solving 30 = p + -1p2 Solving for variable 'p'. Reorder the terms: 30 + -1p + p2 = p + -1p + -1p2 + p2 Combine like terms: p + -1p = 0 30 + -1p + p2 = 0 + -1p2 + p2 30 + -1p + p2 = -1p2 + p2 Combine like terms: -1p2 + p2 = 0 30 + -1p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + -1p + -30 + p2 = 0 + -30 Reorder the terms: 30 + -30 + -1p + p2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1p + p2 = 0 + -30 -1p + p2 = 0 + -30 Combine like terms: 0 + -30 = -30 -1p + p2 = -30 The p term is -1p. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1p + 0.25 + p2 = -30 + 0.25 Reorder the terms: 0.25 + -1p + p2 = -30 + 0.25 Combine like terms: -30 + 0.25 = -29.75 0.25 + -1p + p2 = -29.75 Factor a perfect square on the left side: (p + -0.5)(p + -0.5) = -29.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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