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Simplifying 2p2 + 1p + 15 = 5 Reorder the terms: 15 + 1p + 2p2 = 5 Solving 15 + 1p + 2p2 = 5 Solving for variable 'p'. Reorder the terms: 15 + -5 + 1p + 2p2 = 5 + -5 Combine like terms: 15 + -5 = 10 10 + 1p + 2p2 = 5 + -5 Combine like terms: 5 + -5 = 0 10 + 1p + 2p2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 5 + 0.5p + p2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + 0.5p + -5 + p2 = 0 + -5 Reorder the terms: 5 + -5 + 0.5p + p2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 0.5p + p2 = 0 + -5 0.5p + p2 = 0 + -5 Combine like terms: 0 + -5 = -5 0.5p + p2 = -5 The p term is 0.5p. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5p + 0.0625 + p2 = -5 + 0.0625 Reorder the terms: 0.0625 + 0.5p + p2 = -5 + 0.0625 Combine like terms: -5 + 0.0625 = -4.9375 0.0625 + 0.5p + p2 = -4.9375 Factor a perfect square on the left side: (p + 0.25)(p + 0.25) = -4.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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