9k^2+19k+12=10

Solution for 9k^2+19k+12=10 equation:

Simplifying
9k2 + 19k + 12 = 10

Reorder the terms:
12 + 19k + 9k2 = 10

Solving
12 + 19k + 9k2 = 10

Solving for variable 'k'.

Reorder the terms:
12 + -10 + 19k + 9k2 = 10 + -10

Combine like terms: 12 + -10 = 2
2 + 19k + 9k2 = 10 + -10

Combine like terms: 10 + -10 = 0
2 + 19k + 9k2 = 0

Factor a trinomial.
(2 + k)(1 + 9k) = 0

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

Simplifying
2 + k = 0

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

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

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

Simplifying
k = -2
Subproblem 2
Set the factor '(1 + 9k)' equal to zero and attempt to solve:

Simplifying
1 + 9k = 0

Solving
1 + 9k = 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 + 9k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 9k = 0 + -1
9k = 0 + -1

Combine like terms: 0 + -1 = -1
9k = -1

Divide each side by '9'.
k = -0.1111111111

Simplifying
k = -0.1111111111
Solution
k = {-2, -0.1111111111}