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Simplifying (K + 12)(3k + -2) = 0 Reorder the terms: (12 + K)(3k + -2) = 0 Reorder the terms: (12 + K)(-2 + 3k) = 0 Multiply (12 + K) * (-2 + 3k) (12(-2 + 3k) + K(-2 + 3k)) = 0 ((-2 * 12 + 3k * 12) + K(-2 + 3k)) = 0 ((-24 + 36k) + K(-2 + 3k)) = 0 (-24 + 36k + (-2 * K + 3k * K)) = 0 (-24 + 36k + (-2K + 3kK)) = 0 Reorder the terms: (-24 + -2K + 36k + 3kK) = 0 (-24 + -2K + 36k + 3kK) = 0 Solving -24 + -2K + 36k + 3kK = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -2K + 36k + 24 + 3kK = 0 + 24 Reorder the terms: -24 + 24 + -2K + 36k + 3kK = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -2K + 36k + 3kK = 0 + 24 -2K + 36k + 3kK = 0 + 24 Combine like terms: 0 + 24 = 24 -2K + 36k + 3kK = 24 Add '-36k' to each side of the equation. -2K + 36k + -36k + 3kK = 24 + -36k Combine like terms: 36k + -36k = 0 -2K + 0 + 3kK = 24 + -36k -2K + 3kK = 24 + -36k Reorder the terms: -24 + -2K + 36k + 3kK = 24 + -36k + -24 + 36k Reorder the terms: -24 + -2K + 36k + 3kK = 24 + -24 + -36k + 36k Combine like terms: 24 + -24 = 0 -24 + -2K + 36k + 3kK = 0 + -36k + 36k -24 + -2K + 36k + 3kK = -36k + 36k Combine like terms: -36k + 36k = 0 -24 + -2K + 36k + 3kK = 0 The solution to this equation could not be determined.
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