42x^2-23x+1=0

Solution for 42x^2-23x+1=0 equation:

Simplifying
42x2 + -23x + 1 = 0

Reorder the terms:
1 + -23x + 42x2 = 0

Solving
1 + -23x + 42x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -21x)(1 + -2x) = 0

Subproblem 1
Set the factor '(1 + -21x)' equal to zero and attempt to solve:

Simplifying
1 + -21x = 0

Solving
1 + -21x = 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 + -21x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -21x = 0 + -1
-21x = 0 + -1

Combine like terms: 0 + -1 = -1
-21x = -1

Divide each side by '-21'.
x = 0.04761904762

Simplifying
x = 0.04761904762
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 = {0.04761904762, 0.5}