5k^2-92=3k

Solution for 5k^2-92=3k equation:

Simplifying
5k2 + -92 = 3k

Reorder the terms:
-92 + 5k2 = 3k

Solving
-92 + 5k2 = 3k

Solving for variable 'k'.

Reorder the terms:
-92 + -3k + 5k2 = 3k + -3k

Combine like terms: 3k + -3k = 0
-92 + -3k + 5k2 = 0

Factor a trinomial.
(-4 + -1k)(23 + -5k) = 0

Subproblem 1
Set the factor '(-4 + -1k)' equal to zero and attempt to solve:

Simplifying
-4 + -1k = 0

Solving
-4 + -1k = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1k = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1k = 0 + 4
-1k = 0 + 4

Combine like terms: 0 + 4 = 4
-1k = 4

Divide each side by '-1'.
k = -4

Simplifying
k = -4
Subproblem 2
Set the factor '(23 + -5k)' equal to zero and attempt to solve:

Simplifying
23 + -5k = 0

Solving
23 + -5k = 0

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

Add '-23' to each side of the equation.
23 + -23 + -5k = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -5k = 0 + -23
-5k = 0 + -23

Combine like terms: 0 + -23 = -23
-5k = -23

Divide each side by '-5'.
k = 4.6

Simplifying
k = 4.6
Solution
k = {-4, 4.6}