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Simplifying 3k2 + -4 = 4k Reorder the terms: -4 + 3k2 = 4k Solving -4 + 3k2 = 4k Solving for variable 'k'. Reorder the terms: -4 + -4k + 3k2 = 4k + -4k Combine like terms: 4k + -4k = 0 -4 + -4k + 3k2 = 0 Factor a trinomial. (-2 + -3k)(2 + -1k) = 0Subproblem 1
Set the factor '(-2 + -3k)' equal to zero and attempt to solve: Simplifying -2 + -3k = 0 Solving -2 + -3k = 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 + -3k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3k = 0 + 2 -3k = 0 + 2 Combine like terms: 0 + 2 = 2 -3k = 2 Divide each side by '-3'. k = -0.6666666667 Simplifying k = -0.6666666667Subproblem 2
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 = 2Solution
k = {-0.6666666667, 2}
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