(x+19)(2x+1)=

Solution for (x+19)(2x+1)= equation:

Simplifying
(x + 19)(2x + 1) = 0

Reorder the terms:
(19 + x)(2x + 1) = 0

Reorder the terms:
(19 + x)(1 + 2x) = 0

Multiply (19 + x) * (1 + 2x)
(19(1 + 2x) + x(1 + 2x)) = 0
((1 * 19 + 2x * 19) + x(1 + 2x)) = 0
((19 + 38x) + x(1 + 2x)) = 0
(19 + 38x + (1 * x + 2x * x)) = 0
(19 + 38x + (1x + 2x2)) = 0

Combine like terms: 38x + 1x = 39x
(19 + 39x + 2x2) = 0

Solving
19 + 39x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(19 + x)(1 + 2x) = 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 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-19, -0.5}