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Simplifying K(-3)(k + 8) = 0 Reorder the terms: K * -3(8 + k) = 0 Reorder the terms for easier multiplication: -3K(8 + k) = 0 (8 * -3K + k * -3K) = 0 (-24K + -3kK) = 0 Solving -24K + -3kK = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '-3K'. -3K(8 + 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 '(8 + k)' equal to zero and attempt to solve: Simplifying 8 + k = 0 Solving 8 + k = 0 Move all terms containing K to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + k = 0 + -8 k = 0 + -8 Combine like terms: 0 + -8 = -8 k = -8 Add '-1k' to each side of the equation. k + -1k = -8 + -1k Combine like terms: k + -1k = 0 0 = -8 + -1k Simplifying 0 = -8 + -1k 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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