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Simplifying -189k = -9k2 Solving -189k = -9k2 Solving for variable 'k'. Combine like terms: -9k2 + 9k2 = 0 -189k + 9k2 = 0 Factor out the Greatest Common Factor (GCF), '9k'. 9k(-21 + k) = 0 Ignore the factor 9.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 '(-21 + k)' equal to zero and attempt to solve: Simplifying -21 + k = 0 Solving -21 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + k = 0 + 21 Combine like terms: -21 + 21 = 0 0 + k = 0 + 21 k = 0 + 21 Combine like terms: 0 + 21 = 21 k = 21 Simplifying k = 21Solution
k = {0, 21}
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