(7-K)(5-K)(4-K)-4(5-K)=0

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Solution for (7-K)(5-K)(4-K)-4(5-K)=0 equation: 


Simplifying
(7 + -1K)(5 + -1K)(4 + -1K) + -4(5 + -1K) = 0

Multiply (7 + -1K) * (5 + -1K)
(7(5 + -1K) + -1K * (5 + -1K))(4 + -1K) + -4(5 + -1K) = 0
((5 * 7 + -1K * 7) + -1K * (5 + -1K))(4 + -1K) + -4(5 + -1K) = 0
((35 + -7K) + -1K * (5 + -1K))(4 + -1K) + -4(5 + -1K) = 0
(35 + -7K + (5 * -1K + -1K * -1K))(4 + -1K) + -4(5 + -1K) = 0
(35 + -7K + (-5K + 1K2))(4 + -1K) + -4(5 + -1K) = 0

Combine like terms: -7K + -5K = -12K
(35 + -12K + 1K2)(4 + -1K) + -4(5 + -1K) = 0

Multiply (35 + -12K + 1K2) * (4 + -1K)
(35(4 + -1K) + -12K * (4 + -1K) + 1K2 * (4 + -1K)) + -4(5 + -1K) = 0
((4 * 35 + -1K * 35) + -12K * (4 + -1K) + 1K2 * (4 + -1K)) + -4(5 + -1K) = 0
((140 + -35K) + -12K * (4 + -1K) + 1K2 * (4 + -1K)) + -4(5 + -1K) = 0
(140 + -35K + (4 * -12K + -1K * -12K) + 1K2 * (4 + -1K)) + -4(5 + -1K) = 0
(140 + -35K + (-48K + 12K2) + 1K2 * (4 + -1K)) + -4(5 + -1K) = 0
(140 + -35K + -48K + 12K2 + (4 * 1K2 + -1K * 1K2)) + -4(5 + -1K) = 0
(140 + -35K + -48K + 12K2 + (4K2 + -1K3)) + -4(5 + -1K) = 0

Combine like terms: -35K + -48K = -83K
(140 + -83K + 12K2 + 4K2 + -1K3) + -4(5 + -1K) = 0

Combine like terms: 12K2 + 4K2 = 16K2
(140 + -83K + 16K2 + -1K3) + -4(5 + -1K) = 0
140 + -83K + 16K2 + -1K3 + (5 * -4 + -1K * -4) = 0
140 + -83K + 16K2 + -1K3 + (-20 + 4K) = 0

Reorder the terms:
140 + -20 + -83K + 4K + 16K2 + -1K3 = 0

Combine like terms: 140 + -20 = 120
120 + -83K + 4K + 16K2 + -1K3 = 0

Combine like terms: -83K + 4K = -79K
120 + -79K + 16K2 + -1K3 = 0

Solving
120 + -79K + 16K2 + -1K3 = 0

Solving for variable 'K'.

The solution to this equation could not be determined.

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