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Simplifying 2k2 + 3k + -44 = 0 Reorder the terms: -44 + 3k + 2k2 = 0 Solving -44 + 3k + 2k2 = 0 Solving for variable 'k'. Factor a trinomial. (-11 + -2k)(4 + -1k) = 0Subproblem 1
Set the factor '(-11 + -2k)' equal to zero and attempt to solve: Simplifying -11 + -2k = 0 Solving -11 + -2k = 0 Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2k = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2k = 0 + 11 -2k = 0 + 11 Combine like terms: 0 + 11 = 11 -2k = 11 Divide each side by '-2'. k = -5.5 Simplifying k = -5.5Subproblem 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 = {-5.5, 4}
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