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Simplifying k2 + -3k = 304 Reorder the terms: -3k + k2 = 304 Solving -3k + k2 = 304 Solving for variable 'k'. Reorder the terms: -304 + -3k + k2 = 304 + -304 Combine like terms: 304 + -304 = 0 -304 + -3k + k2 = 0 Factor a trinomial. (-16 + -1k)(19 + -1k) = 0Subproblem 1
Set the factor '(-16 + -1k)' equal to zero and attempt to solve: Simplifying -16 + -1k = 0 Solving -16 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1k = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1k = 0 + 16 -1k = 0 + 16 Combine like terms: 0 + 16 = 16 -1k = 16 Divide each side by '-1'. k = -16 Simplifying k = -16Subproblem 2
Set the factor '(19 + -1k)' equal to zero and attempt to solve: Simplifying 19 + -1k = 0 Solving 19 + -1k = 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 + -1k = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1k = 0 + -19 -1k = 0 + -19 Combine like terms: 0 + -19 = -19 -1k = -19 Divide each side by '-1'. k = 19 Simplifying k = 19Solution
k = {-16, 19}
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