(12+k)*k=(k+4)*(K+4)

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Solution for (12+k)*k=(k+4)*(K+4) equation:


Simplifying
(12 + k) * k = (k + 4)(K + 4)

Reorder the terms for easier multiplication:
k(12 + k) = (k + 4)(K + 4)
(12 * k + k * k) = (k + 4)(K + 4)
(12k + k2) = (k + 4)(K + 4)

Reorder the terms:
12k + k2 = (4 + k)(K + 4)

Reorder the terms:
12k + k2 = (4 + k)(4 + K)

Multiply (4 + k) * (4 + K)
12k + k2 = (4(4 + K) + k(4 + K))
12k + k2 = ((4 * 4 + K * 4) + k(4 + K))
12k + k2 = ((16 + 4K) + k(4 + K))
12k + k2 = (16 + 4K + (4 * k + K * k))
12k + k2 = (16 + 4K + (4k + kK))
12k + k2 = (16 + 4K + 4k + kK)

Solving
12k + k2 = 16 + 4K + 4k + kK

Solving for variable 'k'.

Reorder the terms:
-16 + -4K + 12k + -4k + -1kK + k2 = 16 + 4K + 4k + kK + -16 + -4K + -4k + -1kK

Combine like terms: 12k + -4k = 8k
-16 + -4K + 8k + -1kK + k2 = 16 + 4K + 4k + kK + -16 + -4K + -4k + -1kK

Reorder the terms:
-16 + -4K + 8k + -1kK + k2 = 16 + -16 + 4K + -4K + 4k + -4k + kK + -1kK

Combine like terms: 16 + -16 = 0
-16 + -4K + 8k + -1kK + k2 = 0 + 4K + -4K + 4k + -4k + kK + -1kK
-16 + -4K + 8k + -1kK + k2 = 4K + -4K + 4k + -4k + kK + -1kK

Combine like terms: 4K + -4K = 0
-16 + -4K + 8k + -1kK + k2 = 0 + 4k + -4k + kK + -1kK
-16 + -4K + 8k + -1kK + k2 = 4k + -4k + kK + -1kK

Combine like terms: 4k + -4k = 0
-16 + -4K + 8k + -1kK + k2 = 0 + kK + -1kK
-16 + -4K + 8k + -1kK + k2 = kK + -1kK

Combine like terms: kK + -1kK = 0
-16 + -4K + 8k + -1kK + k2 = 0

The solution to this equation could not be determined.

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