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

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

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

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

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

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

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

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

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

Combine like terms: k2 + -1k2 = 0
6 + 5k + 0 = 2k + kx + k2 + -1k2 + 2x
6 + 5k = 2k + kx + k2 + -1k2 + 2x

Combine like terms: k2 + -1k2 = 0
6 + 5k = 2k + kx + 0 + 2x
6 + 5k = 2k + kx + 2x

Solving
6 + 5k = 2k + kx + 2x

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 + kx + -2k + 2x

Combine like terms: 5k + -2k = 3k
6 + 3k = 2k + kx + -2k + 2x

Reorder the terms:
6 + 3k = 2k + -2k + kx + 2x

Combine like terms: 2k + -2k = 0
6 + 3k = 0 + kx + 2x
6 + 3k = kx + 2x

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

Combine like terms: kx + -1kx = 0
6 + 3k + -1kx = 0 + 2x
6 + 3k + -1kx = 2x

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

Reorder the terms:
6 + -6 + 3k + -1kx = -6 + 2x

Combine like terms: 6 + -6 = 0
0 + 3k + -1kx = -6 + 2x
3k + -1kx = -6 + 2x

Reorder the terms:
6 + 3k + -1kx + -2x = -6 + 2x + 6 + -2x

Reorder the terms:
6 + 3k + -1kx + -2x = -6 + 6 + 2x + -2x

Combine like terms: -6 + 6 = 0
6 + 3k + -1kx + -2x = 0 + 2x + -2x
6 + 3k + -1kx + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 3k + -1kx + -2x = 0

The solution to this equation could not be determined.