11x^2-60x+81=0

Solution for 11x^2-60x+81=0 equation:

Simplifying
11x2 + -60x + 81 = 0

Reorder the terms:
81 + -60x + 11x2 = 0

Solving
81 + -60x + 11x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(27 + -11x)(3 + -1x) = 0

Subproblem 1
Set the factor '(27 + -11x)' equal to zero and attempt to solve:

Simplifying
27 + -11x = 0

Solving
27 + -11x = 0

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

Add '-27' to each side of the equation.
27 + -27 + -11x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -11x = 0 + -27
-11x = 0 + -27

Combine like terms: 0 + -27 = -27
-11x = -27

Divide each side by '-11'.
x = 2.454545455

Simplifying
x = 2.454545455
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {2.454545455, 3}