11x^2+210x+19=0

Solution for 11x^2+210x+19=0 equation:

Simplifying
11x2 + 210x + 19 = 0

Reorder the terms:
19 + 210x + 11x2 = 0

Solving
19 + 210x + 11x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(19 + x)(1 + 11x) = 0

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

Simplifying
19 + x = 0

Solving
19 + x = 0

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

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

Combine like terms: 19 + -19 = 0
0 + x = 0 + -19
x = 0 + -19

Combine like terms: 0 + -19 = -19
x = -19

Simplifying
x = -19
Subproblem 2
Set the factor '(1 + 11x)' equal to zero and attempt to solve:

Simplifying
1 + 11x = 0

Solving
1 + 11x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 11x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 11x = 0 + -1
11x = 0 + -1

Combine like terms: 0 + -1 = -1
11x = -1

Divide each side by '11'.
x = -0.09090909091

Simplifying
x = -0.09090909091
Solution
x = {-19, -0.09090909091}