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Simplifying 18k5 + -12k3 = 0 Reorder the terms: -12k3 + 18k5 = 0 Solving -12k3 + 18k5 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '6k3'. 6k3(-2 + 3k2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'k3' equal to zero and attempt to solve: Simplifying k3 = 0 Solving k3 = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2 + 3k2)' equal to zero and attempt to solve: Simplifying -2 + 3k2 = 0 Solving -2 + 3k2 = 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 + 3k2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3k2 = 0 + 2 3k2 = 0 + 2 Combine like terms: 0 + 2 = 2 3k2 = 2 Divide each side by '3'. k2 = 0.6666666667 Simplifying k2 = 0.6666666667 Take the square root of each side: k = {-0.816496581, 0.816496581}Solution
k = {-0.816496581, 0.816496581}
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