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Simplifying 11k2 + -2 = -21k Reorder the terms: -2 + 11k2 = -21k Solving -2 + 11k2 = -21k Solving for variable 'k'. Reorder the terms: -2 + 21k + 11k2 = -21k + 21k Combine like terms: -21k + 21k = 0 -2 + 21k + 11k2 = 0 Factor a trinomial. (-2 + -1k)(1 + -11k) = 0Subproblem 1
Set the factor '(-2 + -1k)' equal to zero and attempt to solve: Simplifying -2 + -1k = 0 Solving -2 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1k = 0 + 2 -1k = 0 + 2 Combine like terms: 0 + 2 = 2 -1k = 2 Divide each side by '-1'. k = -2 Simplifying k = -2Subproblem 2
Set the factor '(1 + -11k)' equal to zero and attempt to solve: Simplifying 1 + -11k = 0 Solving 1 + -11k = 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 + -11k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -11k = 0 + -1 -11k = 0 + -1 Combine like terms: 0 + -1 = -1 -11k = -1 Divide each side by '-11'. k = 0.09090909091 Simplifying k = 0.09090909091Solution
k = {-2, 0.09090909091}
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