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Simplifying -1k2 = -6k + -7 Reorder the terms: -1k2 = -7 + -6k Solving -1k2 = -7 + -6k Solving for variable 'k'. Reorder the terms: 7 + 6k + -1k2 = -7 + -6k + 7 + 6k Reorder the terms: 7 + 6k + -1k2 = -7 + 7 + -6k + 6k Combine like terms: -7 + 7 = 0 7 + 6k + -1k2 = 0 + -6k + 6k 7 + 6k + -1k2 = -6k + 6k Combine like terms: -6k + 6k = 0 7 + 6k + -1k2 = 0 Factor a trinomial. (7 + -1k)(1 + k) = 0Subproblem 1
Set the factor '(7 + -1k)' equal to zero and attempt to solve: Simplifying 7 + -1k = 0 Solving 7 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1k = 0 + -7 -1k = 0 + -7 Combine like terms: 0 + -7 = -7 -1k = -7 Divide each side by '-1'. k = 7 Simplifying k = 7Subproblem 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 = {7, -1}
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