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Simplifying 4k2 + 17k + 18 = 0 Reorder the terms: 18 + 17k + 4k2 = 0 Solving 18 + 17k + 4k2 = 0 Solving for variable 'k'. Factor a trinomial. (9 + 4k)(2 + k) = 0Subproblem 1
Set the factor '(9 + 4k)' equal to zero and attempt to solve: Simplifying 9 + 4k = 0 Solving 9 + 4k = 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 + 4k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4k = 0 + -9 4k = 0 + -9 Combine like terms: 0 + -9 = -9 4k = -9 Divide each side by '4'. k = -2.25 Simplifying k = -2.25Subproblem 2
Set the factor '(2 + k)' equal to zero and attempt to solve: Simplifying 2 + k = 0 Solving 2 + k = 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 + k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + k = 0 + -2 k = 0 + -2 Combine like terms: 0 + -2 = -2 k = -2 Simplifying k = -2Solution
k = {-2.25, -2}
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