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Simplifying 107k + 9 + -12k2 = 0 Reorder the terms: 9 + 107k + -12k2 = 0 Solving 9 + 107k + -12k2 = 0 Solving for variable 'k'. Factor a trinomial. (9 + -1k)(1 + 12k) = 0Subproblem 1
Set the factor '(9 + -1k)' equal to zero and attempt to solve: Simplifying 9 + -1k = 0 Solving 9 + -1k = 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 + -1k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1k = 0 + -9 -1k = 0 + -9 Combine like terms: 0 + -9 = -9 -1k = -9 Divide each side by '-1'. k = 9 Simplifying k = 9Subproblem 2
Set the factor '(1 + 12k)' equal to zero and attempt to solve: Simplifying 1 + 12k = 0 Solving 1 + 12k = 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 + 12k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 12k = 0 + -1 12k = 0 + -1 Combine like terms: 0 + -1 = -1 12k = -1 Divide each side by '12'. k = -0.08333333333 Simplifying k = -0.08333333333Solution
k = {9, -0.08333333333}
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