11x^2-27x=18

Solution for 11x^2-27x=18 equation:

Simplifying
11x2 + -27x = 18

Reorder the terms:
-27x + 11x2 = 18

Solving
-27x + 11x2 = 18

Solving for variable 'x'.

Reorder the terms:
-18 + -27x + 11x2 = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + -27x + 11x2 = 0

Factor a trinomial.
(-6 + -11x)(3 + -1x) = 0

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 '(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 = {-0.5454545455, 3}