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Simplifying 3k3 + -5k2 = 0 Reorder the terms: -5k2 + 3k3 = 0 Solving -5k2 + 3k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k2'. k2(-5 + 3k) = 0Subproblem 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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