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Simplifying (p + -9)(p + -9) = -2 Reorder the terms: (-9 + p)(p + -9) = -2 Reorder the terms: (-9 + p)(-9 + p) = -2 Multiply (-9 + p) * (-9 + p) (-9(-9 + p) + p(-9 + p)) = -2 ((-9 * -9 + p * -9) + p(-9 + p)) = -2 ((81 + -9p) + p(-9 + p)) = -2 (81 + -9p + (-9 * p + p * p)) = -2 (81 + -9p + (-9p + p2)) = -2 Combine like terms: -9p + -9p = -18p (81 + -18p + p2) = -2 Solving 81 + -18p + p2 = -2 Solving for variable 'p'. Reorder the terms: 81 + 2 + -18p + p2 = -2 + 2 Combine like terms: 81 + 2 = 83 83 + -18p + p2 = -2 + 2 Combine like terms: -2 + 2 = 0 83 + -18p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-83' to each side of the equation. 83 + -18p + -83 + p2 = 0 + -83 Reorder the terms: 83 + -83 + -18p + p2 = 0 + -83 Combine like terms: 83 + -83 = 0 0 + -18p + p2 = 0 + -83 -18p + p2 = 0 + -83 Combine like terms: 0 + -83 = -83 -18p + p2 = -83 The p term is -18p. Take half its coefficient (-9). Square it (81) and add it to both sides. Add '81' to each side of the equation. -18p + 81 + p2 = -83 + 81 Reorder the terms: 81 + -18p + p2 = -83 + 81 Combine like terms: -83 + 81 = -2 81 + -18p + p2 = -2 Factor a perfect square on the left side: (p + -9)(p + -9) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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