k^2+5k+6=(k+2)(k+U+2610)

Solution for k^2+5k+6=(k+2)(k+U+2610) equation:

Simplifying
k2 + 5k + 6 = (k + 2)(k + U + 2610)

Reorder the terms:
6 + 5k + k2 = (k + 2)(k + U + 2610)

Reorder the terms:
6 + 5k + k2 = (2 + k)(k + U + 2610)

Reorder the terms:
6 + 5k + k2 = (2 + k)(2610 + U + k)

Multiply (2 + k) * (2610 + U + k)
6 + 5k + k2 = (2(2610 + U + k) + k(2610 + U + k))
6 + 5k + k2 = ((2610 * 2 + U * 2 + k * 2) + k(2610 + U + k))
6 + 5k + k2 = ((5220 + 2U + 2k) + k(2610 + U + k))
6 + 5k + k2 = (5220 + 2U + 2k + (2610 * k + U * k + k * k))
6 + 5k + k2 = (5220 + 2U + 2k + (2610k + kU + k2))

Combine like terms: 2k + 2610k = 2612k
6 + 5k + k2 = (5220 + 2U + 2612k + kU + k2)

Add '-1k2' to each side of the equation.
6 + 5k + k2 + -1k2 = 5220 + 2U + 2612k + kU + k2 + -1k2

Combine like terms: k2 + -1k2 = 0
6 + 5k + 0 = 5220 + 2U + 2612k + kU + k2 + -1k2
6 + 5k = 5220 + 2U + 2612k + kU + k2 + -1k2

Combine like terms: k2 + -1k2 = 0
6 + 5k = 5220 + 2U + 2612k + kU + 0
6 + 5k = 5220 + 2U + 2612k + kU

Solving
6 + 5k = 5220 + 2U + 2612k + kU

Solving for variable 'k'.

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

Add '-2612k' to each side of the equation.
6 + 5k + -2612k = 5220 + 2U + 2612k + -2612k + kU

Combine like terms: 5k + -2612k = -2607k
6 + -2607k = 5220 + 2U + 2612k + -2612k + kU

Combine like terms: 2612k + -2612k = 0
6 + -2607k = 5220 + 2U + 0 + kU
6 + -2607k = 5220 + 2U + kU

Add '-1kU' to each side of the equation.
6 + -2607k + -1kU = 5220 + 2U + kU + -1kU

Combine like terms: kU + -1kU = 0
6 + -2607k + -1kU = 5220 + 2U + 0
6 + -2607k + -1kU = 5220 + 2U

Add '-6' to each side of the equation.
6 + -2607k + -6 + -1kU = 5220 + -6 + 2U

Reorder the terms:
6 + -6 + -2607k + -1kU = 5220 + -6 + 2U

Combine like terms: 6 + -6 = 0
0 + -2607k + -1kU = 5220 + -6 + 2U
-2607k + -1kU = 5220 + -6 + 2U

Combine like terms: 5220 + -6 = 5214
-2607k + -1kU = 5214 + 2U

Reorder the terms:
-5214 + -2U + -2607k + -1kU = 5214 + 2U + -5214 + -2U

Reorder the terms:
-5214 + -2U + -2607k + -1kU = 5214 + -5214 + 2U + -2U

Combine like terms: 5214 + -5214 = 0
-5214 + -2U + -2607k + -1kU = 0 + 2U + -2U
-5214 + -2U + -2607k + -1kU = 2U + -2U

Combine like terms: 2U + -2U = 0
-5214 + -2U + -2607k + -1kU = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(5214 + 2U + 2607k + kU) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(5214 + 2U + 2607k + kU)' equal to zero and attempt to solve:

Simplifying
5214 + 2U + 2607k + kU = 0

Solving
5214 + 2U + 2607k + kU = 0

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

Add '-5214' to each side of the equation.
5214 + 2U + 2607k + -5214 + kU = 0 + -5214

Reorder the terms:
5214 + -5214 + 2U + 2607k + kU = 0 + -5214

Combine like terms: 5214 + -5214 = 0
0 + 2U + 2607k + kU = 0 + -5214
2U + 2607k + kU = 0 + -5214

Combine like terms: 0 + -5214 = -5214
2U + 2607k + kU = -5214

Add '-2U' to each side of the equation.
2U + 2607k + -2U + kU = -5214 + -2U

Reorder the terms:
2U + -2U + 2607k + kU = -5214 + -2U

Combine like terms: 2U + -2U = 0
0 + 2607k + kU = -5214 + -2U
2607k + kU = -5214 + -2U

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.