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.
(2 + -1x)(19 + -8x) = 0

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

Simplifying
2 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 2

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