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Simplifying k3 = 144k Solving k3 = 144k Solving for variable 'k'. Reorder the terms: -144k + k3 = 144k + -144k Combine like terms: 144k + -144k = 0 -144k + k3 = 0 Factor out the Greatest Common Factor (GCF), 'k'. k(-144 + k2) = 0 Factor a difference between two squares. k((12 + k)(-12 + k)) = 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 '(12 + k)' equal to zero and attempt to solve: Simplifying 12 + k = 0 Solving 12 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + k = 0 + -12 k = 0 + -12 Combine like terms: 0 + -12 = -12 k = -12 Simplifying k = -12Subproblem 3
Set the factor '(-12 + k)' equal to zero and attempt to solve: Simplifying -12 + k = 0 Solving -12 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + k = 0 + 12 Combine like terms: -12 + 12 = 0 0 + k = 0 + 12 k = 0 + 12 Combine like terms: 0 + 12 = 12 k = 12 Simplifying k = 12Solution
k = {0, -12, 12}
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