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Simplifying 3k2 + 22k + 7 = 0 Reorder the terms: 7 + 22k + 3k2 = 0 Solving 7 + 22k + 3k2 = 0 Solving for variable 'k'. Factor a trinomial. (7 + k)(1 + 3k) = 0Subproblem 1
Set the factor '(7 + k)' equal to zero and attempt to solve: Simplifying 7 + k = 0 Solving 7 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + k = 0 + -7 k = 0 + -7 Combine like terms: 0 + -7 = -7 k = -7 Simplifying k = -7Subproblem 2
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 = -0.3333333333Solution
k = {-7, -0.3333333333}
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