11x^2+4-[8(x^2-2)+8]=x

Solution for 11x^2+4-[8(x^2-2)+8]=x equation:

Simplifying
11x2 + 4 + -1[8(x2 + -2) + 8] = x

Reorder the terms:
11x2 + 4 + -1[8(-2 + x2) + 8] = x
11x2 + 4 + -1[(-2 * 8 + x2 * 8) + 8] = x
11x2 + 4 + -1[(-16 + 8x2) + 8] = x

Reorder the terms:
11x2 + 4 + -1[-16 + 8 + 8x2] = x

Combine like terms: -16 + 8 = -8
11x2 + 4 + -1[-8 + 8x2] = x
11x2 + 4 + [-8 * -1 + 8x2 * -1] = x
11x2 + 4 + [8 + -8x2] = x

Reorder the terms:
4 + 8 + 11x2 + -8x2 = x

Combine like terms: 4 + 8 = 12
12 + 11x2 + -8x2 = x

Combine like terms: 11x2 + -8x2 = 3x2
12 + 3x2 = x

Solving
12 + 3x2 = x

Solving for variable 'x'.

Reorder the terms:
12 + -1x + 3x2 = x + -1x

Combine like terms: x + -1x = 0
12 + -1x + 3x2 = 0

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

Divide each side by '3'.
4 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -0.3333333333x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -0.3333333333x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -0.3333333333x + x2 = 0 + -4
-0.3333333333x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-0.3333333333x + x2 = -4

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -4 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -4 + 0.02777777779

Combine like terms: -4 + 0.02777777779 = -3.97222222221
0.02777777779 + -0.3333333333x + x2 = -3.97222222221

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -3.97222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.