22x^2-23x+6=0

Solution for 22x^2-23x+6=0 equation:

Simplifying
22x2 + -23x + 6 = 0

Reorder the terms:
6 + -23x + 22x2 = 0

Solving
6 + -23x + 22x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -2x)(6 + -11x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(6 + -11x)' equal to zero and attempt to solve:

Simplifying
6 + -11x = 0

Solving
6 + -11x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -11x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -11x = 0 + -6
-11x = 0 + -6

Combine like terms: 0 + -6 = -6
-11x = -6

Divide each side by '-11'.
x = 0.5454545455

Simplifying
x = 0.5454545455
Solution
x = {0.5, 0.5454545455}