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Simplifying k(-3k + 17) = 0 Reorder the terms: k(17 + -3k) = 0 (17 * k + -3k * k) = 0 (17k + -3k2) = 0 Solving 17k + -3k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(17 + -3k) = 0Subproblem 1
Set the factor 'k' equal to zero and attempt to solve: Simplifying k = 0 Solving k = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k = 0Subproblem 2
Set the factor '(17 + -3k)' equal to zero and attempt to solve: Simplifying 17 + -3k = 0 Solving 17 + -3k = 0 Move all terms containing k to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -3k = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -3k = 0 + -17 -3k = 0 + -17 Combine like terms: 0 + -17 = -17 -3k = -17 Divide each side by '-3'. k = 5.666666667 Simplifying k = 5.666666667Solution
k = {0, 5.666666667}
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