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Simplifying 2p2 + p = -7 Reorder the terms: p + 2p2 = -7 Solving p + 2p2 = -7 Solving for variable 'p'. Reorder the terms: 7 + p + 2p2 = -7 + 7 Combine like terms: -7 + 7 = 0 7 + p + 2p2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 3.5 + 0.5p + p2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + 0.5p + -3.5 + p2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + 0.5p + p2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 0.5p + p2 = 0 + -3.5 0.5p + p2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 0.5p + p2 = -3.5 The p term is p. 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. 0.5p + 0.25 + p2 = -3.5 + 0.25 Reorder the terms: 0.25 + 0.5p + p2 = -3.5 + 0.25 Combine like terms: -3.5 + 0.25 = -3.25 0.25 + 0.5p + p2 = -3.25 Factor a perfect square on the left side: (p + 0.5)(p + 0.5) = -3.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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