k^2-6k-3=4

Solution for k^2-6k-3=4 equation:

Simplifying
k2 + -6k + -3 = 4

Reorder the terms:
-3 + -6k + k2 = 4

Solving
-3 + -6k + k2 = 4

Solving for variable 'k'.

Reorder the terms:
-3 + -4 + -6k + k2 = 4 + -4

Combine like terms: -3 + -4 = -7
-7 + -6k + k2 = 4 + -4

Combine like terms: 4 + -4 = 0
-7 + -6k + k2 = 0

Factor a trinomial.
(-1 + -1k)(7 + -1k) = 0

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

Simplifying
-1 + -1k = 0

Solving
-1 + -1k = 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 + -1k = 0 + 1

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

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

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

Simplifying
k = -1
Subproblem 2
Set the factor '(7 + -1k)' equal to zero and attempt to solve:

Simplifying
7 + -1k = 0

Solving
7 + -1k = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1k = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1k = 0 + -7
-1k = 0 + -7

Combine like terms: 0 + -7 = -7
-1k = -7

Divide each side by '-1'.
k = 7

Simplifying
k = 7
Solution
k = {-1, 7}