10k^2+29k+19=0

Solution for 10k^2+29k+19=0 equation:

Simplifying
10k2 + 29k + 19 = 0

Reorder the terms:
19 + 29k + 10k2 = 0

Solving
19 + 29k + 10k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(19 + 10k)(1 + k) = 0

Subproblem 1
Set the factor '(19 + 10k)' equal to zero and attempt to solve:

Simplifying
19 + 10k = 0

Solving
19 + 10k = 0

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

Add '-19' to each side of the equation.
19 + -19 + 10k = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 10k = 0 + -19
10k = 0 + -19

Combine like terms: 0 + -19 = -19
10k = -19

Divide each side by '10'.
k = -1.9

Simplifying
k = -1.9
Subproblem 2
Set the factor '(1 + k)' equal to zero and attempt to solve:

Simplifying
1 + k = 0

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

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

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

Simplifying
k = -1
Solution
k = {-1.9, -1}