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Simplifying 4k5 + -100k3 = 0 Reorder the terms: -100k3 + 4k5 = 0 Solving -100k3 + 4k5 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '4k3'. 4k3(-25 + k2) = 0 Factor a difference between two squares. 4k3((5 + k)(-5 + k)) = 0 Ignore the factor 4.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 '(5 + k)' equal to zero and attempt to solve: Simplifying 5 + k = 0 Solving 5 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + k = 0 + -5 k = 0 + -5 Combine like terms: 0 + -5 = -5 k = -5 Simplifying k = -5Subproblem 3
Set the factor '(-5 + k)' equal to zero and attempt to solve: Simplifying -5 + k = 0 Solving -5 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + k = 0 + 5 k = 0 + 5 Combine like terms: 0 + 5 = 5 k = 5 Simplifying k = 5Solution
k = {-5, 5}
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