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Simplifying 7p2 + 16p + 9 = 7p Reorder the terms: 9 + 16p + 7p2 = 7p Solving 9 + 16p + 7p2 = 7p Solving for variable 'p'. Reorder the terms: 9 + 16p + -7p + 7p2 = 7p + -7p Combine like terms: 16p + -7p = 9p 9 + 9p + 7p2 = 7p + -7p Combine like terms: 7p + -7p = 0 9 + 9p + 7p2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.285714286 + 1.285714286p + p2 = 0 Move the constant term to the right: Add '-1.285714286' to each side of the equation. 1.285714286 + 1.285714286p + -1.285714286 + p2 = 0 + -1.285714286 Reorder the terms: 1.285714286 + -1.285714286 + 1.285714286p + p2 = 0 + -1.285714286 Combine like terms: 1.285714286 + -1.285714286 = 0.000000000 0.000000000 + 1.285714286p + p2 = 0 + -1.285714286 1.285714286p + p2 = 0 + -1.285714286 Combine like terms: 0 + -1.285714286 = -1.285714286 1.285714286p + p2 = -1.285714286 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 = -1.285714286 + 0.4132653063 Reorder the terms: 0.4132653063 + 1.285714286p + p2 = -1.285714286 + 0.4132653063 Combine like terms: -1.285714286 + 0.4132653063 = -0.8724489797 0.4132653063 + 1.285714286p + p2 = -0.8724489797 Factor a perfect square on the left side: (p + 0.642857143)(p + 0.642857143) = -0.8724489797 Can't calculate square root of the right side. The solution to this equation could not be determined.
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