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Simplifying 15k3 + -10k2 = 0 Reorder the terms: -10k2 + 15k3 = 0 Solving -10k2 + 15k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '5k2'. 5k2(-2 + 3k) = 0 Ignore the factor 5.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 '(-2 + 3k)' equal to zero and attempt to solve: Simplifying -2 + 3k = 0 Solving -2 + 3k = 0 Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3k = 0 + 2 3k = 0 + 2 Combine like terms: 0 + 2 = 2 3k = 2 Divide each side by '3'. k = 0.6666666667 Simplifying k = 0.6666666667Solution
k = {0, 0.6666666667}
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