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Simplifying (k + 1)(k + 1) = 0 Reorder the terms: (1 + k)(k + 1) = 0 Reorder the terms: (1 + k)(1 + k) = 0 Multiply (1 + k) * (1 + k) (1(1 + k) + k(1 + k)) = 0 ((1 * 1 + k * 1) + k(1 + k)) = 0 ((1 + 1k) + k(1 + k)) = 0 (1 + 1k + (1 * k + k * k)) = 0 (1 + 1k + (1k + k2)) = 0 Combine like terms: 1k + 1k = 2k (1 + 2k + k2) = 0 Solving 1 + 2k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (1 + k)(1 + k) = 0Subproblem 1
Set the factor '(1 + k)' equal to zero and attempt to solve: Simplifying 1 + k = 0 Solving 1 + k = 0 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 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + k = 0 + -1 k = 0 + -1 Combine like terms: 0 + -1 = -1 k = -1 Simplifying k = -1Subproblem 2
Set the factor '(1 + k)' equal to zero and attempt to solve: Simplifying 1 + k = 0 Solving 1 + k = 0 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 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + k = 0 + -1 k = 0 + -1 Combine like terms: 0 + -1 = -1 k = -1 Simplifying k = -1Solution
k = {-1, -1}
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