8x^2+35x+38=0

Solution for 8x^2+35x+38=0 equation:

Simplifying
8x2 + 35x + 38 = 0

Reorder the terms:
38 + 35x + 8x2 = 0

Solving
38 + 35x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(19 + 8x)(2 + x) = 0

Subproblem 1
Set the factor '(19 + 8x)' equal to zero and attempt to solve:

Simplifying
19 + 8x = 0

Solving
19 + 8x = 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 + 8x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 8x = 0 + -19
8x = 0 + -19

Combine like terms: 0 + -19 = -19
8x = -19

Divide each side by '8'.
x = -2.375

Simplifying
x = -2.375
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {-2.375, -2}