k^2+3k=108

Solution for k^2+3k=108 equation:

Simplifying
k2 + 3k = 108

Reorder the terms:
3k + k2 = 108

Solving
3k + k2 = 108

Solving for variable 'k'.

Reorder the terms:
-108 + 3k + k2 = 108 + -108

Combine like terms: 108 + -108 = 0
-108 + 3k + k2 = 0

Factor a trinomial.
(-12 + -1k)(9 + -1k) = 0

Subproblem 1
Set the factor '(-12 + -1k)' equal to zero and attempt to solve:

Simplifying
-12 + -1k = 0

Solving
-12 + -1k = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1k = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1k = 0 + 12
-1k = 0 + 12

Combine like terms: 0 + 12 = 12
-1k = 12

Divide each side by '-1'.
k = -12

Simplifying
k = -12
Subproblem 2
Set the factor '(9 + -1k)' equal to zero and attempt to solve:

Simplifying
9 + -1k = 0

Solving
9 + -1k = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1k = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1k = 0 + -9
-1k = 0 + -9

Combine like terms: 0 + -9 = -9
-1k = -9

Divide each side by '-1'.
k = 9

Simplifying
k = 9
Solution
k = {-12, 9}