k^2+5k+6=(k+2)(k+3)

Solution for k^2+5k+6=(k+2)(k+3) equation:

Simplifying
k2 + 5k + 6 = (k + 2)(k + 3)

Reorder the terms:
6 + 5k + k2 = (k + 2)(k + 3)

Reorder the terms:
6 + 5k + k2 = (2 + k)(k + 3)

Reorder the terms:
6 + 5k + k2 = (2 + k)(3 + k)

Multiply (2 + k) * (3 + k)
6 + 5k + k2 = (2(3 + k) + k(3 + k))
6 + 5k + k2 = ((3 * 2 + k * 2) + k(3 + k))
6 + 5k + k2 = ((6 + 2k) + k(3 + k))
6 + 5k + k2 = (6 + 2k + (3 * k + k * k))
6 + 5k + k2 = (6 + 2k + (3k + k2))

Combine like terms: 2k + 3k = 5k
6 + 5k + k2 = (6 + 5k + k2)

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

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

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

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

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

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

Combine like terms: 5k + -5k = 0
0 + k2 = 5k + -5k + k2
k2 = 5k + -5k + k2

Combine like terms: 5k + -5k = 0
k2 = 0 + k2
k2 = k2

Add '-1k2' to each side of the equation.
k2 + -1k2 = k2 + -1k2

Combine like terms: k2 + -1k2 = 0
0 = k2 + -1k2

Combine like terms: k2 + -1k2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.