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Simplifying 8k2 + -1k + -75 = 0 Reorder the terms: -75 + -1k + 8k2 = 0 Solving -75 + -1k + 8k2 = 0 Solving for variable 'k'. Factor a trinomial. (-3 + -1k)(25 + -8k) = 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 '(25 + -8k)' equal to zero and attempt to solve: Simplifying 25 + -8k = 0 Solving 25 + -8k = 0 Move all terms containing k to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -8k = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -8k = 0 + -25 -8k = 0 + -25 Combine like terms: 0 + -25 = -25 -8k = -25 Divide each side by '-8'. k = 3.125 Simplifying k = 3.125Solution
k = {-3, 3.125}
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