6=3k^2+17k

Solution for 6=3k^2+17k equation:

Simplifying
6 = 3k2 + 17k

Reorder the terms:
6 = 17k + 3k2

Solving
6 = 17k + 3k2

Solving for variable 'k'.

Reorder the terms:
6 + -17k + -3k2 = 17k + -17k + 3k2 + -3k2

Combine like terms: 17k + -17k = 0
6 + -17k + -3k2 = 0 + 3k2 + -3k2
6 + -17k + -3k2 = 3k2 + -3k2

Combine like terms: 3k2 + -3k2 = 0
6 + -17k + -3k2 = 0

Factor a trinomial.
(1 + -3k)(6 + k) = 0

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

Simplifying
1 + -3k = 0

Solving
1 + -3k = 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 + -3k = 0 + -1

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

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

Divide each side by '-3'.
k = 0.3333333333

Simplifying
k = 0.3333333333
Subproblem 2
Set the factor '(6 + k)' equal to zero and attempt to solve:

Simplifying
6 + k = 0

Solving
6 + k = 0

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

Add '-6' to each side of the equation.
6 + -6 + k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + k = 0 + -6
k = 0 + -6

Combine like terms: 0 + -6 = -6
k = -6

Simplifying
k = -6
Solution
k = {0.3333333333, -6}