5k^2-4=19k

Solution for 5k^2-4=19k equation:

Simplifying
5k2 + -4 = 19k

Reorder the terms:
-4 + 5k2 = 19k

Solving
-4 + 5k2 = 19k

Solving for variable 'k'.

Reorder the terms:
-4 + -19k + 5k2 = 19k + -19k

Combine like terms: 19k + -19k = 0
-4 + -19k + 5k2 = 0

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

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

Simplifying
-1 + -5k = 0

Solving
-1 + -5k = 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 + -5k = 0 + 1

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

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

Divide each side by '-5'.
k = -0.2

Simplifying
k = -0.2
Subproblem 2
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
Solution
k = {-0.2, 4}