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Simplifying 25k2 + 31k + 6 = 0 Reorder the terms: 6 + 31k + 25k2 = 0 Solving 6 + 31k + 25k2 = 0 Solving for variable 'k'. Factor a trinomial. (1 + k)(6 + 25k) = 0Subproblem 1
Set the factor '(1 + k)' equal to zero and attempt to solve: Simplifying 1 + k = 0 Solving 1 + k = 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 + k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + k = 0 + -1 k = 0 + -1 Combine like terms: 0 + -1 = -1 k = -1 Simplifying k = -1Subproblem 2
Set the factor '(6 + 25k)' equal to zero and attempt to solve: Simplifying 6 + 25k = 0 Solving 6 + 25k = 0 Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 25k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 25k = 0 + -6 25k = 0 + -6 Combine like terms: 0 + -6 = -6 25k = -6 Divide each side by '25'. k = -0.24 Simplifying k = -0.24Solution
k = {-1, -0.24}
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