11x^2-123x+342=0

Solution for 11x^2-123x+342=0 equation:

Simplifying
11x2 + -123x + 342 = 0

Reorder the terms:
342 + -123x + 11x2 = 0

Solving
342 + -123x + 11x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(57 + -11x)(6 + -1x) = 0

Subproblem 1
Set the factor '(57 + -11x)' equal to zero and attempt to solve:

Simplifying
57 + -11x = 0

Solving
57 + -11x = 0

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

Add '-57' to each side of the equation.
57 + -57 + -11x = 0 + -57

Combine like terms: 57 + -57 = 0
0 + -11x = 0 + -57
-11x = 0 + -57

Combine like terms: 0 + -57 = -57
-11x = -57

Divide each side by '-11'.
x = 5.181818182

Simplifying
x = 5.181818182
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 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 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {5.181818182, 6}