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Simplifying 3k3 + -30k2 = 0 Reorder the terms: -30k2 + 3k3 = 0 Solving -30k2 + 3k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '3k2'. 3k2(-10 + k) = 0 Ignore the factor 3.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 '(-10 + k)' equal to zero and attempt to solve: Simplifying -10 + k = 0 Solving -10 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + k = 0 + 10 Combine like terms: -10 + 10 = 0 0 + k = 0 + 10 k = 0 + 10 Combine like terms: 0 + 10 = 10 k = 10 Simplifying k = 10Solution
k = {0, 10}
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