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Simplifying 3k2 + 72k = 33k Reorder the terms: 72k + 3k2 = 33k Solving 72k + 3k2 = 33k Solving for variable 'k'. Reorder the terms: 72k + -33k + 3k2 = 33k + -33k Combine like terms: 72k + -33k = 39k 39k + 3k2 = 33k + -33k Combine like terms: 33k + -33k = 0 39k + 3k2 = 0 Factor out the Greatest Common Factor (GCF), '3k'. 3k(13 + k) = 0 Ignore the factor 3.Subproblem 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 '(13 + k)' equal to zero and attempt to solve: Simplifying 13 + k = 0 Solving 13 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + k = 0 + -13 k = 0 + -13 Combine like terms: 0 + -13 = -13 k = -13 Simplifying k = -13Solution
k = {0, -13}
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