120x^2-226x+105=0

Solution for 120x^2-226x+105=0 equation:

Simplifying
120x2 + -226x + 105 = 0

Reorder the terms:
105 + -226x + 120x2 = 0

Solving
105 + -226x + 120x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -6x)(21 + -20x) = 0

Subproblem 1
Set the factor '(5 + -6x)' equal to zero and attempt to solve:

Simplifying
5 + -6x = 0

Solving
5 + -6x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 0 + -5
-6x = 0 + -5

Combine like terms: 0 + -5 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333
Subproblem 2
Set the factor '(21 + -20x)' equal to zero and attempt to solve:

Simplifying
21 + -20x = 0

Solving
21 + -20x = 0

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

Add '-21' to each side of the equation.
21 + -21 + -20x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -20x = 0 + -21
-20x = 0 + -21

Combine like terms: 0 + -21 = -21
-20x = -21

Divide each side by '-20'.
x = 1.05

Simplifying
x = 1.05
Solution
x = {0.8333333333, 1.05}