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

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

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

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

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

Reorder the terms for easier multiplication:
6 + K2 + 5k = k(2 + k)
6 + K2 + 5k = (2 * k + k * k)
6 + K2 + 5k = (2k + k2)

Solving
6 + K2 + 5k = 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 = 2k + -6 + k2

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

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

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

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

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

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

Simplifying
K2 = -6 + -3k + k2

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

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

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

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

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

The solution to this equation could not be determined.