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Simplifying 3k2 = 11k + 4 Reorder the terms: 3k2 = 4 + 11k Solving 3k2 = 4 + 11k Solving for variable 'k'. Reorder the terms: -4 + -11k + 3k2 = 4 + 11k + -4 + -11k Reorder the terms: -4 + -11k + 3k2 = 4 + -4 + 11k + -11k Combine like terms: 4 + -4 = 0 -4 + -11k + 3k2 = 0 + 11k + -11k -4 + -11k + 3k2 = 11k + -11k Combine like terms: 11k + -11k = 0 -4 + -11k + 3k2 = 0 Factor a trinomial. (-1 + -3k)(4 + -1k) = 0Subproblem 1
Set the factor '(-1 + -3k)' equal to zero and attempt to solve: Simplifying -1 + -3k = 0 Solving -1 + -3k = 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 + -3k = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3k = 0 + 1 -3k = 0 + 1 Combine like terms: 0 + 1 = 1 -3k = 1 Divide each side by '-3'. k = -0.3333333333 Simplifying k = -0.3333333333Subproblem 2
Set the factor '(4 + -1k)' equal to zero and attempt to solve: Simplifying 4 + -1k = 0 Solving 4 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1k = 0 + -4 -1k = 0 + -4 Combine like terms: 0 + -4 = -4 -1k = -4 Divide each side by '-1'. k = 4 Simplifying k = 4Solution
k = {-0.3333333333, 4}
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