38x^2-21x+1=0

Solution for 38x^2-21x+1=0 equation:

Simplifying
38x2 + -21x + 1 = 0

Reorder the terms:
1 + -21x + 38x2 = 0

Solving
1 + -21x + 38x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -19x)(1 + -2x) = 0

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

Simplifying
1 + -19x = 0

Solving
1 + -19x = 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 + -19x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -19x = 0 + -1
-19x = 0 + -1

Combine like terms: 0 + -1 = -1
-19x = -1

Divide each side by '-19'.
x = 0.05263157895

Simplifying
x = 0.05263157895
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 = {0.05263157895, 0.5}