K^2+5k+6=(k+2)(k+a)

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Solution for K^2+5k+6=(k+2)(k+a) equation: 


Simplifying
K2 + 5k + 6 = (k + 2)(k + a)

Reorder the terms:
6 + K2 + 5k = (k + 2)(k + a)

Reorder the terms:
6 + K2 + 5k = (2 + k)(k + a)

Reorder the terms:
6 + K2 + 5k = (2 + k)(a + k)

Multiply (2 + k) * (a + k)
6 + K2 + 5k = (2(a + k) + k(a + k))
6 + K2 + 5k = ((a * 2 + k * 2) + k(a + k))
6 + K2 + 5k = ((2a + 2k) + k(a + k))
6 + K2 + 5k = (2a + 2k + (a * k + k * k))
6 + K2 + 5k = (2a + 2k + (ak + k2))

Reorder the terms:
6 + K2 + 5k = (2a + ak + 2k + k2)
6 + K2 + 5k = (2a + ak + 2k + k2)

Solving
6 + K2 + 5k = 2a + ak + 2k + k2

Solving for variable 'K'.

Move all terms containing K to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + K2 + -6 + 5k = 2a + ak + 2k + -6 + k2

Reorder the terms:
6 + -6 + K2 + 5k = 2a + ak + 2k + -6 + k2

Combine like terms: 6 + -6 = 0
0 + K2 + 5k = 2a + ak + 2k + -6 + k2
K2 + 5k = 2a + ak + 2k + -6 + k2

Reorder the terms:
K2 + 5k = -6 + 2a + ak + 2k + k2

Add '-5k' to each side of the equation.
K2 + 5k + -5k = -6 + 2a + ak + 2k + -5k + k2

Combine like terms: 5k + -5k = 0
K2 + 0 = -6 + 2a + ak + 2k + -5k + k2
K2 = -6 + 2a + ak + 2k + -5k + k2

Combine like terms: 2k + -5k = -3k
K2 = -6 + 2a + ak + -3k + k2

Simplifying
K2 = -6 + 2a + ak + -3k + k2

Reorder the terms:
6 + K2 + -2a + -1ak + 3k + -1k2 = -6 + 2a + ak + -3k + k2 + 6 + -2a + -1ak + 3k + -1k2

Reorder the terms:
6 + K2 + -2a + -1ak + 3k + -1k2 = -6 + 6 + 2a + -2a + ak + -1ak + -3k + 3k + k2 + -1k2

Combine like terms: -6 + 6 = 0
6 + K2 + -2a + -1ak + 3k + -1k2 = 0 + 2a + -2a + ak + -1ak + -3k + 3k + k2 + -1k2
6 + K2 + -2a + -1ak + 3k + -1k2 = 2a + -2a + ak + -1ak + -3k + 3k + k2 + -1k2

Combine like terms: 2a + -2a = 0
6 + K2 + -2a + -1ak + 3k + -1k2 = 0 + ak + -1ak + -3k + 3k + k2 + -1k2
6 + K2 + -2a + -1ak + 3k + -1k2 = ak + -1ak + -3k + 3k + k2 + -1k2

Combine like terms: ak + -1ak = 0
6 + K2 + -2a + -1ak + 3k + -1k2 = 0 + -3k + 3k + k2 + -1k2
6 + K2 + -2a + -1ak + 3k + -1k2 = -3k + 3k + k2 + -1k2

Combine like terms: -3k + 3k = 0
6 + K2 + -2a + -1ak + 3k + -1k2 = 0 + k2 + -1k2
6 + K2 + -2a + -1ak + 3k + -1k2 = k2 + -1k2

Combine like terms: k2 + -1k2 = 0
6 + K2 + -2a + -1ak + 3k + -1k2 = 0

The solution to this equation could not be determined.

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