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Simplifying 3k5 + 4k2 + -6k5 + -5k2 = 0 Reorder the terms: 4k2 + -5k2 + 3k5 + -6k5 = 0 Combine like terms: 4k2 + -5k2 = -1k2 -1k2 + 3k5 + -6k5 = 0 Combine like terms: 3k5 + -6k5 = -3k5 -1k2 + -3k5 = 0 Solving -1k2 + -3k5 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '-1k2'. -1k2(1 + 3k3) = 0 Ignore the factor -1.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 + 3k3)' equal to zero and attempt to solve: Simplifying 1 + 3k3 = 0 Solving 1 + 3k3 = 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 + 3k3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3k3 = 0 + -1 3k3 = 0 + -1 Combine like terms: 0 + -1 = -1 3k3 = -1 Divide each side by '3'. k3 = -0.3333333333 Simplifying k3 = -0.3333333333 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
k = {0}
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