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Simplifying 75k3 + 15k2 = 0 Reorder the terms: 15k2 + 75k3 = 0 Solving 15k2 + 75k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '15k2'. 15k2(1 + 5k) = 0 Ignore the factor 15.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 '(1 + 5k)' equal to zero and attempt to solve: Simplifying 1 + 5k = 0 Solving 1 + 5k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5k = 0 + -1 5k = 0 + -1 Combine like terms: 0 + -1 = -1 5k = -1 Divide each side by '5'. k = -0.2 Simplifying k = -0.2Solution
k = {0, -0.2}
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