242x^2-264x+72=0

Solution for 242x^2-264x+72=0 equation:

Simplifying
242x2 + -264x + 72 = 0

Reorder the terms:
72 + -264x + 242x2 = 0

Solving
72 + -264x + 242x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(36 + -132x + 121x2) = 0

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

Ignore the factor 2.
Subproblem 1
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
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 = {0.5454545455, 0.5454545455}