11x^2-16x=-8

Solution for 11x^2-16x=-8 equation:

Simplifying
11x2 + -16x = -8

Reorder the terms:
-16x + 11x2 = -8

Solving
-16x + 11x2 = -8

Solving for variable 'x'.

Reorder the terms:
8 + -16x + 11x2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + -16x + 11x2 = 0

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

Divide each side by '11'.
0.7272727273 + -1.454545455x + x2 = 0

Move the constant term to the right:

Add '-0.7272727273' to each side of the equation.
0.7272727273 + -1.454545455x + -0.7272727273 + x2 = 0 + -0.7272727273

Reorder the terms:
0.7272727273 + -0.7272727273 + -1.454545455x + x2 = 0 + -0.7272727273

Combine like terms: 0.7272727273 + -0.7272727273 = 0.0000000000
0.0000000000 + -1.454545455x + x2 = 0 + -0.7272727273
-1.454545455x + x2 = 0 + -0.7272727273

Combine like terms: 0 + -0.7272727273 = -0.7272727273
-1.454545455x + x2 = -0.7272727273

The x term is -1.454545455x.  Take half its coefficient (-0.7272727275).
Square it (0.5289256202) and add it to both sides.

Add '0.5289256202' to each side of the equation.
-1.454545455x + 0.5289256202 + x2 = -0.7272727273 + 0.5289256202

Reorder the terms:
0.5289256202 + -1.454545455x + x2 = -0.7272727273 + 0.5289256202

Combine like terms: -0.7272727273 + 0.5289256202 = -0.1983471071
0.5289256202 + -1.454545455x + x2 = -0.1983471071

Factor a perfect square on the left side:
(x + -0.7272727275)(x + -0.7272727275) = -0.1983471071

Can't calculate square root of the right side.

The solution to this equation could not be determined.