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Simplifying 7p2 + 9p + 20 = 0 Reorder the terms: 20 + 9p + 7p2 = 0 Solving 20 + 9p + 7p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 2.857142857 + 1.285714286p + p2 = 0 Move the constant term to the right: Add '-2.857142857' to each side of the equation. 2.857142857 + 1.285714286p + -2.857142857 + p2 = 0 + -2.857142857 Reorder the terms: 2.857142857 + -2.857142857 + 1.285714286p + p2 = 0 + -2.857142857 Combine like terms: 2.857142857 + -2.857142857 = 0.000000000 0.000000000 + 1.285714286p + p2 = 0 + -2.857142857 1.285714286p + p2 = 0 + -2.857142857 Combine like terms: 0 + -2.857142857 = -2.857142857 1.285714286p + p2 = -2.857142857 The p term is 1.285714286p. Take half its coefficient (0.642857143). Square it (0.4132653063) and add it to both sides. Add '0.4132653063' to each side of the equation. 1.285714286p + 0.4132653063 + p2 = -2.857142857 + 0.4132653063 Reorder the terms: 0.4132653063 + 1.285714286p + p2 = -2.857142857 + 0.4132653063 Combine like terms: -2.857142857 + 0.4132653063 = -2.4438775507 0.4132653063 + 1.285714286p + p2 = -2.4438775507 Factor a perfect square on the left side: (p + 0.642857143)(p + 0.642857143) = -2.4438775507 Can't calculate square root of the right side. The solution to this equation could not be determined.
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