13x^2+5-[2(x^2-6)+6]=0

Solution for 13x^2+5-[2(x^2-6)+6]=0 equation:

Simplifying
13x2 + 5 + -1[2(x2 + -6) + 6] = 0

Reorder the terms:
13x2 + 5 + -1[2(-6 + x2) + 6] = 0
13x2 + 5 + -1[(-6 * 2 + x2 * 2) + 6] = 0
13x2 + 5 + -1[(-12 + 2x2) + 6] = 0

Reorder the terms:
13x2 + 5 + -1[-12 + 6 + 2x2] = 0

Combine like terms: -12 + 6 = -6
13x2 + 5 + -1[-6 + 2x2] = 0
13x2 + 5 + [-6 * -1 + 2x2 * -1] = 0
13x2 + 5 + [6 + -2x2] = 0

Reorder the terms:
5 + 6 + 13x2 + -2x2 = 0

Combine like terms: 5 + 6 = 11
11 + 13x2 + -2x2 = 0

Combine like terms: 13x2 + -2x2 = 11x2
11 + 11x2 = 0

Solving
11 + 11x2 = 0

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 11x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 11x2 = 0 + -11
11x2 = 0 + -11

Combine like terms: 0 + -11 = -11
11x2 = -11

Divide each side by '11'.
x2 = -1

Simplifying
x2 = -1

Reorder the terms:
1 + x2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + x2 = 0

The solution to this equation could not be determined.