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Simplifying 8k2 + -18k + 7 = 0 Reorder the terms: 7 + -18k + 8k2 = 0 Solving 7 + -18k + 8k2 = 0 Solving for variable 'k'. Factor a trinomial. (1 + -2k)(7 + -4k) = 0Subproblem 1
Set the factor '(1 + -2k)' equal to zero and attempt to solve: Simplifying 1 + -2k = 0 Solving 1 + -2k = 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 + -2k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2k = 0 + -1 -2k = 0 + -1 Combine like terms: 0 + -1 = -1 -2k = -1 Divide each side by '-2'. k = 0.5 Simplifying k = 0.5Subproblem 2
Set the factor '(7 + -4k)' equal to zero and attempt to solve: Simplifying 7 + -4k = 0 Solving 7 + -4k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4k = 0 + -7 -4k = 0 + -7 Combine like terms: 0 + -7 = -7 -4k = -7 Divide each side by '-4'. k = 1.75 Simplifying k = 1.75Solution
k = {0.5, 1.75}
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