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Simplifying (3k + 5)(-1k) = 0 Reorder the terms: (5 + 3k)(-1k) = 0 Remove parenthesis around (-1k) (5 + 3k) * -1k = 0 Reorder the terms for easier multiplication: -1k(5 + 3k) = 0 (5 * -1k + 3k * -1k) = 0 (-5k + -3k2) = 0 Solving -5k + -3k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '-1k'. -1k(5 + 3k) = 0 Ignore the factor -1.Subproblem 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 '(5 + 3k)' equal to zero and attempt to solve: Simplifying 5 + 3k = 0 Solving 5 + 3k = 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 + 3k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3k = 0 + -5 3k = 0 + -5 Combine like terms: 0 + -5 = -5 3k = -5 Divide each side by '3'. k = -1.666666667 Simplifying k = -1.666666667Solution
k = {0, -1.666666667}
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