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Simplifying (-8k + -3)(-4K + -6) = 0 Reorder the terms: (-3 + -8k)(-4K + -6) = 0 Reorder the terms: (-3 + -8k)(-6 + -4K) = 0 Multiply (-3 + -8k) * (-6 + -4K) (-3(-6 + -4K) + -8k * (-6 + -4K)) = 0 ((-6 * -3 + -4K * -3) + -8k * (-6 + -4K)) = 0 ((18 + 12K) + -8k * (-6 + -4K)) = 0 (18 + 12K + (-6 * -8k + -4K * -8k)) = 0 (18 + 12K + (48k + 32kK)) = 0 (18 + 12K + 48k + 32kK) = 0 Solving 18 + 12K + 48k + 32kK = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 12K + 48k + -18 + 32kK = 0 + -18 Reorder the terms: 18 + -18 + 12K + 48k + 32kK = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 12K + 48k + 32kK = 0 + -18 12K + 48k + 32kK = 0 + -18 Combine like terms: 0 + -18 = -18 12K + 48k + 32kK = -18 Add '-48k' to each side of the equation. 12K + 48k + -48k + 32kK = -18 + -48k Combine like terms: 48k + -48k = 0 12K + 0 + 32kK = -18 + -48k 12K + 32kK = -18 + -48k Reorder the terms: 18 + 12K + 48k + 32kK = -18 + -48k + 18 + 48k Reorder the terms: 18 + 12K + 48k + 32kK = -18 + 18 + -48k + 48k Combine like terms: -18 + 18 = 0 18 + 12K + 48k + 32kK = 0 + -48k + 48k 18 + 12K + 48k + 32kK = -48k + 48k Combine like terms: -48k + 48k = 0 18 + 12K + 48k + 32kK = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + 6K + 24k + 16kK) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + 6K + 24k + 16kK)' equal to zero and attempt to solve: Simplifying 9 + 6K + 24k + 16kK = 0 Solving 9 + 6K + 24k + 16kK = 0 Move all terms containing K to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 6K + 24k + -9 + 16kK = 0 + -9 Reorder the terms: 9 + -9 + 6K + 24k + 16kK = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 6K + 24k + 16kK = 0 + -9 6K + 24k + 16kK = 0 + -9 Combine like terms: 0 + -9 = -9 6K + 24k + 16kK = -9 Add '-24k' to each side of the equation. 6K + 24k + -24k + 16kK = -9 + -24k Combine like terms: 24k + -24k = 0 6K + 0 + 16kK = -9 + -24k 6K + 16kK = -9 + -24k 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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