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Simplifying 3k2 + -35 = 8k Reorder the terms: -35 + 3k2 = 8k Solving -35 + 3k2 = 8k Solving for variable 'k'. Reorder the terms: -35 + -8k + 3k2 = 8k + -8k Combine like terms: 8k + -8k = 0 -35 + -8k + 3k2 = 0 Factor a trinomial. (-7 + -3k)(5 + -1k) = 0Subproblem 1
Set the factor '(-7 + -3k)' equal to zero and attempt to solve: Simplifying -7 + -3k = 0 Solving -7 + -3k = 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 + -3k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3k = 0 + 7 -3k = 0 + 7 Combine like terms: 0 + 7 = 7 -3k = 7 Divide each side by '-3'. k = -2.333333333 Simplifying k = -2.333333333Subproblem 2
Set the factor '(5 + -1k)' equal to zero and attempt to solve: Simplifying 5 + -1k = 0 Solving 5 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1k = 0 + -5 -1k = 0 + -5 Combine like terms: 0 + -5 = -5 -1k = -5 Divide each side by '-1'. k = 5 Simplifying k = 5Solution
k = {-2.333333333, 5}
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