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Simplifying 4(3k + 8) * K = 4 Reorder the terms: 4(8 + 3k) * K = 4 Reorder the terms for easier multiplication: 4K(8 + 3k) = 4 (8 * 4K + 3k * 4K) = 4 (32K + 12kK) = 4 Solving 32K + 12kK = 4 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Reorder the terms: -4 + 32K + 12kK = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 32K + 12kK = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + 8K + 3kK) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + 8K + 3kK)' equal to zero and attempt to solve: Simplifying -1 + 8K + 3kK = 0 Solving -1 + 8K + 3kK = 0 Move all terms containing K to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 8K + 1 + 3kK = 0 + 1 Reorder the terms: -1 + 1 + 8K + 3kK = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8K + 3kK = 0 + 1 8K + 3kK = 0 + 1 Combine like terms: 0 + 1 = 1 8K + 3kK = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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