k^2-9k-38=-2

Solution for k^2-9k-38=-2 equation:

Simplifying
k2 + -9k + -38 = -2

Reorder the terms:
-38 + -9k + k2 = -2

Solving
-38 + -9k + k2 = -2

Solving for variable 'k'.

Reorder the terms:
-38 + 2 + -9k + k2 = -2 + 2

Combine like terms: -38 + 2 = -36
-36 + -9k + k2 = -2 + 2

Combine like terms: -2 + 2 = 0
-36 + -9k + k2 = 0

Factor a trinomial.
(-3 + -1k)(12 + -1k) = 0

Subproblem 1
Set the factor '(-3 + -1k)' equal to zero and attempt to solve:

Simplifying
-3 + -1k = 0

Solving
-3 + -1k = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1k = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1k = 0 + 3
-1k = 0 + 3

Combine like terms: 0 + 3 = 3
-1k = 3

Divide each side by '-1'.
k = -3

Simplifying
k = -3
Subproblem 2
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
Solution
k = {-3, 12}