13k^2+26k+13=

Solution for 13k^2+26k+13= equation:

Simplifying
13k2 + 26k + 13 = 0

Reorder the terms:
13 + 26k + 13k2 = 0

Solving
13 + 26k + 13k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '13'.
13(1 + 2k + k2) = 0

Factor a trinomial.
13((1 + k)(1 + k)) = 0

Ignore the factor 13.
Subproblem 1
Set the factor '(1 + k)' equal to zero and attempt to solve:

Simplifying
1 + k = 0

Solving
1 + k = 0

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

Add '-1' to each side of the equation.
1 + -1 + k = 0 + -1

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

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

Simplifying
k = -1
Subproblem 2
Set the factor '(1 + k)' equal to zero and attempt to solve:

Simplifying
1 + k = 0

Solving
1 + k = 0

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

Add '-1' to each side of the equation.
1 + -1 + k = 0 + -1

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

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

Simplifying
k = -1
Solution
k = {-1, -1}