K^2-3(6-k)=4k(6-k)

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Solution for K^2-3(6-k)=4k(6-k) equation:


Simplifying
K2 + -3(6 + -1k) = 4k(6 + -1k)
K2 + (6 * -3 + -1k * -3) = 4k(6 + -1k)
K2 + (-18 + 3k) = 4k(6 + -1k)

Reorder the terms:
-18 + K2 + 3k = 4k(6 + -1k)
-18 + K2 + 3k = (6 * 4k + -1k * 4k)
-18 + K2 + 3k = (24k + -4k2)

Solving
-18 + K2 + 3k = 24k + -4k2

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 + K2 + 18 + 3k = 24k + 18 + -4k2

Reorder the terms:
-18 + 18 + K2 + 3k = 24k + 18 + -4k2

Combine like terms: -18 + 18 = 0
0 + K2 + 3k = 24k + 18 + -4k2
K2 + 3k = 24k + 18 + -4k2

Reorder the terms:
K2 + 3k = 18 + 24k + -4k2

Add '-3k' to each side of the equation.
K2 + 3k + -3k = 18 + 24k + -3k + -4k2

Combine like terms: 3k + -3k = 0
K2 + 0 = 18 + 24k + -3k + -4k2
K2 = 18 + 24k + -3k + -4k2

Combine like terms: 24k + -3k = 21k
K2 = 18 + 21k + -4k2

Simplifying
K2 = 18 + 21k + -4k2

Reorder the terms:
-18 + K2 + -21k + 4k2 = 18 + 21k + -4k2 + -18 + -21k + 4k2

Reorder the terms:
-18 + K2 + -21k + 4k2 = 18 + -18 + 21k + -21k + -4k2 + 4k2

Combine like terms: 18 + -18 = 0
-18 + K2 + -21k + 4k2 = 0 + 21k + -21k + -4k2 + 4k2
-18 + K2 + -21k + 4k2 = 21k + -21k + -4k2 + 4k2

Combine like terms: 21k + -21k = 0
-18 + K2 + -21k + 4k2 = 0 + -4k2 + 4k2
-18 + K2 + -21k + 4k2 = -4k2 + 4k2

Combine like terms: -4k2 + 4k2 = 0
-18 + K2 + -21k + 4k2 = 0

The solution to this equation could not be determined.

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