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Simplifying -17k5 + 32k3 = 0 Reorder the terms: 32k3 + -17k5 = 0 Solving 32k3 + -17k5 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k3'. k3(32 + -17k2) = 0Subproblem 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 '(32 + -17k2)' equal to zero and attempt to solve: Simplifying 32 + -17k2 = 0 Solving 32 + -17k2 = 0 Move all terms containing k to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -17k2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -17k2 = 0 + -32 -17k2 = 0 + -32 Combine like terms: 0 + -32 = -32 -17k2 = -32 Divide each side by '-17'. k2 = 1.882352941 Simplifying k2 = 1.882352941 Take the square root of each side: k = {-1.371988681, 1.371988681}Solution
k = {-1.371988681, 1.371988681}
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