11x^2-9x=-6

Solution for 11x^2-9x=-6 equation:

Simplifying
11x2 + -9x = -6

Reorder the terms:
-9x + 11x2 = -6

Solving
-9x + 11x2 = -6

Solving for variable 'x'.

Reorder the terms:
6 + -9x + 11x2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + -9x + 11x2 = 0

Begin completing the square.  Divide all terms by
11 the coefficient of the squared term: 

Divide each side by '11'.
0.5454545455 + -0.8181818182x + x2 = 0

Move the constant term to the right:

Add '-0.5454545455' to each side of the equation.
0.5454545455 + -0.8181818182x + -0.5454545455 + x2 = 0 + -0.5454545455

Reorder the terms:
0.5454545455 + -0.5454545455 + -0.8181818182x + x2 = 0 + -0.5454545455

Combine like terms: 0.5454545455 + -0.5454545455 = 0.0000000000
0.0000000000 + -0.8181818182x + x2 = 0 + -0.5454545455
-0.8181818182x + x2 = 0 + -0.5454545455

Combine like terms: 0 + -0.5454545455 = -0.5454545455
-0.8181818182x + x2 = -0.5454545455

The x term is -0.8181818182x.  Take half its coefficient (-0.4090909091).
Square it (0.1673553719) and add it to both sides.

Add '0.1673553719' to each side of the equation.
-0.8181818182x + 0.1673553719 + x2 = -0.5454545455 + 0.1673553719

Reorder the terms:
0.1673553719 + -0.8181818182x + x2 = -0.5454545455 + 0.1673553719

Combine like terms: -0.5454545455 + 0.1673553719 = -0.3780991736
0.1673553719 + -0.8181818182x + x2 = -0.3780991736

Factor a perfect square on the left side:
(x + -0.4090909091)(x + -0.4090909091) = -0.3780991736

Can't calculate square root of the right side.

The solution to this equation could not be determined.