42x^2-67x+6=0

Solution for 42x^2-67x+6=0 equation:

Simplifying
42x2 + -67x + 6 = 0

Reorder the terms:
6 + -67x + 42x2 = 0

Solving
6 + -67x + 42x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -21x)(3 + -2x) = 0

Subproblem 1
Set the factor '(2 + -21x)' equal to zero and attempt to solve:

Simplifying
2 + -21x = 0

Solving
2 + -21x = 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 + -21x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -21x = 0 + -2
-21x = 0 + -2

Combine like terms: 0 + -2 = -2
-21x = -2

Divide each side by '-21'.
x = 0.09523809524

Simplifying
x = 0.09523809524
Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0.09523809524, 1.5}