19x^2+22x+3=0

Solution for 19x^2+22x+3=0 equation:

Simplifying
19x2 + 22x + 3 = 0

Reorder the terms:
3 + 22x + 19x2 = 0

Solving
3 + 22x + 19x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + x)(3 + 19x) = 0

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

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Subproblem 2
Set the factor '(3 + 19x)' equal to zero and attempt to solve:

Simplifying
3 + 19x = 0

Solving
3 + 19x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 19x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 19x = 0 + -3
19x = 0 + -3

Combine like terms: 0 + -3 = -3
19x = -3

Divide each side by '19'.
x = -0.1578947368

Simplifying
x = -0.1578947368
Solution
x = {-1, -0.1578947368}