13x^2+32x+19=0

Solution for 13x^2+32x+19=0 equation:

Simplifying
13x2 + 32x + 19 = 0

Reorder the terms:
19 + 32x + 13x2 = 0

Solving
19 + 32x + 13x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(19 + 13x)(1 + x) = 0

Subproblem 1
Set the factor '(19 + 13x)' equal to zero and attempt to solve:

Simplifying
19 + 13x = 0

Solving
19 + 13x = 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 + 13x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 13x = 0 + -19
13x = 0 + -19

Combine like terms: 0 + -19 = -19
13x = -19

Divide each side by '13'.
x = -1.461538462

Simplifying
x = -1.461538462
Subproblem 2
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
Solution
x = {-1.461538462, -1}