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Simplifying 3k2 + -57 = 10k Reorder the terms: -57 + 3k2 = 10k Solving -57 + 3k2 = 10k Solving for variable 'k'. Reorder the terms: -57 + -10k + 3k2 = 10k + -10k Combine like terms: 10k + -10k = 0 -57 + -10k + 3k2 = 0 Factor a trinomial. (-3 + -1k)(19 + -3k) = 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 '(19 + -3k)' equal to zero and attempt to solve: Simplifying 19 + -3k = 0 Solving 19 + -3k = 0 Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -3k = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -3k = 0 + -19 -3k = 0 + -19 Combine like terms: 0 + -19 = -19 -3k = -19 Divide each side by '-3'. k = 6.333333333 Simplifying k = 6.333333333Solution
k = {-3, 6.333333333}
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