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Simplifying 6k3 + 10k2 = 0 Reorder the terms: 10k2 + 6k3 = 0 Solving 10k2 + 6k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2k2'. 2k2(5 + 3k) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'k2' equal to zero and attempt to solve: Simplifying k2 = 0 Solving k2 = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k2 = 0 Take the square root of each side: k = {0}Subproblem 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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