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Simplifying (k + 1)(k + -1) = -72 Reorder the terms: (1 + k)(k + -1) = -72 Reorder the terms: (1 + k)(-1 + k) = -72 Multiply (1 + k) * (-1 + k) (1(-1 + k) + k(-1 + k)) = -72 ((-1 * 1 + k * 1) + k(-1 + k)) = -72 ((-1 + 1k) + k(-1 + k)) = -72 (-1 + 1k + (-1 * k + k * k)) = -72 (-1 + 1k + (-1k + k^{2})) = -72 Combine like terms: 1k + -1k = 0 (-1 + 0 + k^{2}) = -72 (-1 + k^{2}) = -72 Solving -1 + k^{2}= -72 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + k^{2}= -72 + 1 Combine like terms: -1 + 1 = 0 0 + k^{2}= -72 + 1 k^{2}= -72 + 1 Combine like terms: -72 + 1 = -71 k^{2}= -71 Simplifying k^{2}= -71 Reorder the terms: 71 + k^{2}= -71 + 71 Combine like terms: -71 + 71 = 0 71 + k^{2}= 0 The solution to this equation could not be determined.

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