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Simplifying -1k2 + -18k + -81 = 0 Reorder the terms: -81 + -18k + -1k2 = 0 Solving -81 + -18k + -1k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '-1'. -1(81 + 18k + k2) = 0 Factor a trinomial. -1((9 + k)(9 + k)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(9 + k)' equal to zero and attempt to solve: Simplifying 9 + k = 0 Solving 9 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + k = 0 + -9 k = 0 + -9 Combine like terms: 0 + -9 = -9 k = -9 Simplifying k = -9Subproblem 2
Set the factor '(9 + k)' equal to zero and attempt to solve: Simplifying 9 + k = 0 Solving 9 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + k = 0 + -9 k = 0 + -9 Combine like terms: 0 + -9 = -9 k = -9 Simplifying k = -9Solution
k = {-9, -9}
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