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Simplifying 13k2 + 38k + -3 = 0 Reorder the terms: -3 + 38k + 13k2 = 0 Solving -3 + 38k + 13k2 = 0 Solving for variable 'k'. Factor a trinomial. (-3 + -1k)(1 + -13k) = 0Subproblem 1
Set the factor '(-3 + -1k)' equal to zero and attempt to solve: Simplifying -3 + -1k = 0 Solving -3 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1k = 0 + 3 -1k = 0 + 3 Combine like terms: 0 + 3 = 3 -1k = 3 Divide each side by '-1'. k = -3 Simplifying k = -3Subproblem 2
Set the factor '(1 + -13k)' equal to zero and attempt to solve: Simplifying 1 + -13k = 0 Solving 1 + -13k = 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 + -13k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -13k = 0 + -1 -13k = 0 + -1 Combine like terms: 0 + -1 = -1 -13k = -1 Divide each side by '-13'. k = 0.07692307692 Simplifying k = 0.07692307692Solution
k = {-3, 0.07692307692}
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