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

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

Simplifying
k2 + 5k + 6 = (k + 2)(k + u)

Reorder the terms:
6 + 5k + k2 = (k + 2)(k + u)

Reorder the terms:
6 + 5k + k2 = (2 + k)(k + u)

Multiply (2 + k) * (k + u)
6 + 5k + k2 = (2(k + u) + k(k + u))
6 + 5k + k2 = ((k * 2 + u * 2) + k(k + u))
6 + 5k + k2 = ((2k + 2u) + k(k + u))
6 + 5k + k2 = (2k + 2u + (k * k + u * k))

Reorder the terms:
6 + 5k + k2 = (2k + 2u + (ku + k2))
6 + 5k + k2 = (2k + 2u + (ku + k2))

Reorder the terms:
6 + 5k + k2 = (2k + ku + k2 + 2u)
6 + 5k + k2 = (2k + ku + k2 + 2u)

Add '-1k2' to each side of the equation.
6 + 5k + k2 + -1k2 = 2k + ku + k2 + -1k2 + 2u

Combine like terms: k2 + -1k2 = 0
6 + 5k + 0 = 2k + ku + k2 + -1k2 + 2u
6 + 5k = 2k + ku + k2 + -1k2 + 2u

Combine like terms: k2 + -1k2 = 0
6 + 5k = 2k + ku + 0 + 2u
6 + 5k = 2k + ku + 2u

Solving
6 + 5k = 2k + ku + 2u

Solving for variable 'k'.

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

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

Combine like terms: 5k + -2k = 3k
6 + 3k = 2k + ku + -2k + 2u

Reorder the terms:
6 + 3k = 2k + -2k + ku + 2u

Combine like terms: 2k + -2k = 0
6 + 3k = 0 + ku + 2u
6 + 3k = ku + 2u

Add '-1ku' to each side of the equation.
6 + 3k + -1ku = ku + -1ku + 2u

Combine like terms: ku + -1ku = 0
6 + 3k + -1ku = 0 + 2u
6 + 3k + -1ku = 2u

Add '-6' to each side of the equation.
6 + 3k + -6 + -1ku = -6 + 2u

Reorder the terms:
6 + -6 + 3k + -1ku = -6 + 2u

Combine like terms: 6 + -6 = 0
0 + 3k + -1ku = -6 + 2u
3k + -1ku = -6 + 2u

Reorder the terms:
6 + 3k + -1ku + -2u = -6 + 2u + 6 + -2u

Reorder the terms:
6 + 3k + -1ku + -2u = -6 + 6 + 2u + -2u

Combine like terms: -6 + 6 = 0
6 + 3k + -1ku + -2u = 0 + 2u + -2u
6 + 3k + -1ku + -2u = 2u + -2u

Combine like terms: 2u + -2u = 0
6 + 3k + -1ku + -2u = 0

The solution to this equation could not be determined.