3k^2+10=17k

Solution for 3k^2+10=17k equation:

Simplifying
3k2 + 10 = 17k

Reorder the terms:
10 + 3k2 = 17k

Solving
10 + 3k2 = 17k

Solving for variable 'k'.

Reorder the terms:
10 + -17k + 3k2 = 17k + -17k

Combine like terms: 17k + -17k = 0
10 + -17k + 3k2 = 0

Factor a trinomial.
(2 + -3k)(5 + -1k) = 0

Subproblem 1
Set the factor '(2 + -3k)' equal to zero and attempt to solve:

Simplifying
2 + -3k = 0

Solving
2 + -3k = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3k = 0 + -2
-3k = 0 + -2

Combine like terms: 0 + -2 = -2
-3k = -2

Divide each side by '-3'.
k = 0.6666666667

Simplifying
k = 0.6666666667
Subproblem 2
Set the factor '(5 + -1k)' equal to zero and attempt to solve:

Simplifying
5 + -1k = 0

Solving
5 + -1k = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1k = 0 + -5
-1k = 0 + -5

Combine like terms: 0 + -5 = -5
-1k = -5

Divide each side by '-1'.
k = 5

Simplifying
k = 5
Solution
k = {0.6666666667, 5}