10k^2+19k-2=0

Solution for 10k^2+19k-2=0 equation:

Simplifying
10k2 + 19k + -2 = 0

Reorder the terms:
-2 + 19k + 10k2 = 0

Solving
-2 + 19k + 10k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-2 + -1k)(1 + -10k) = 0

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

Simplifying
-2 + -1k = 0

Solving
-2 + -1k = 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 + -1k = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1k = 0 + 2
-1k = 0 + 2

Combine like terms: 0 + 2 = 2
-1k = 2

Divide each side by '-1'.
k = -2

Simplifying
k = -2
Subproblem 2
Set the factor '(1 + -10k)' equal to zero and attempt to solve:

Simplifying
1 + -10k = 0

Solving
1 + -10k = 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 + -10k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -10k = 0 + -1
-10k = 0 + -1

Combine like terms: 0 + -1 = -1
-10k = -1

Divide each side by '-10'.
k = 0.1

Simplifying
k = 0.1
Solution
k = {-2, 0.1}