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Simplifying 15k = k3 Solving 15k = k3 Solving for variable 'k'. Combine like terms: k3 + -1k3 = 0 15k + -1k3 = 0 Factor out the Greatest Common Factor (GCF), 'k'. k(15 + -1k2) = 0Subproblem 1
Set the factor 'k' equal to zero and attempt to solve: Simplifying k = 0 Solving k = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k = 0Subproblem 2
Set the factor '(15 + -1k2)' equal to zero and attempt to solve: Simplifying 15 + -1k2 = 0 Solving 15 + -1k2 = 0 Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1k2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1k2 = 0 + -15 -1k2 = 0 + -15 Combine like terms: 0 + -15 = -15 -1k2 = -15 Divide each side by '-1'. k2 = 15 Simplifying k2 = 15 Take the square root of each side: k = {-3.872983346, 3.872983346}Solution
k = {0, -3.872983346, 3.872983346}
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