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Simplifying 8k2 + 10k + -3 = 0 Reorder the terms: -3 + 10k + 8k2 = 0 Solving -3 + 10k + 8k2 = 0 Solving for variable 'k'. Factor a trinomial. (-3 + -2k)(1 + -4k) = 0Subproblem 1
Set the factor '(-3 + -2k)' equal to zero and attempt to solve: Simplifying -3 + -2k = 0 Solving -3 + -2k = 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 + -2k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2k = 0 + 3 -2k = 0 + 3 Combine like terms: 0 + 3 = 3 -2k = 3 Divide each side by '-2'. k = -1.5 Simplifying k = -1.5Subproblem 2
Set the factor '(1 + -4k)' equal to zero and attempt to solve: Simplifying 1 + -4k = 0 Solving 1 + -4k = 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 + -4k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4k = 0 + -1 -4k = 0 + -1 Combine like terms: 0 + -1 = -1 -4k = -1 Divide each side by '-4'. k = 0.25 Simplifying k = 0.25Solution
k = {-1.5, 0.25}
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