11x^2+1-[6(x^2-6+3)]=0

Solution for 11x^2+1-[6(x^2-6+3)]=0 equation:

Simplifying
11x2 + 1 + -1[6(x2 + -6 + 3)] = 0

Reorder the terms:
11x2 + 1 + -1[6(-6 + 3 + x2)] = 0

Combine like terms: -6 + 3 = -3
11x2 + 1 + -1[6(-3 + x2)] = 0
11x2 + 1 + -1[(-3 * 6 + x2 * 6)] = 0
11x2 + 1 + -1[(-18 + 6x2)] = 0
11x2 + 1 + [-18 * -1 + 6x2 * -1] = 0
11x2 + 1 + [18 + -6x2] = 0

Reorder the terms:
1 + 18 + 11x2 + -6x2 = 0

Combine like terms: 1 + 18 = 19
19 + 11x2 + -6x2 = 0

Combine like terms: 11x2 + -6x2 = 5x2
19 + 5x2 = 0

Solving
19 + 5x2 = 0

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + 5x2 = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 5x2 = 0 + -19
5x2 = 0 + -19

Combine like terms: 0 + -19 = -19
5x2 = -19

Divide each side by '5'.
x2 = -3.8

Simplifying
x2 = -3.8

Reorder the terms:
3.8 + x2 = -3.8 + 3.8

Combine like terms: -3.8 + 3.8 = 0.0
3.8 + x2 = 0.0

The solution to this equation could not be determined.