11x^2+6-[5(x^2-5)+8]=0

Solution for 11x^2+6-[5(x^2-5)+8]=0 equation:

Simplifying
11x2 + 6 + -1[5(x2 + -5) + 8] = 0

Reorder the terms:
11x2 + 6 + -1[5(-5 + x2) + 8] = 0
11x2 + 6 + -1[(-5 * 5 + x2 * 5) + 8] = 0
11x2 + 6 + -1[(-25 + 5x2) + 8] = 0

Reorder the terms:
11x2 + 6 + -1[-25 + 8 + 5x2] = 0

Combine like terms: -25 + 8 = -17
11x2 + 6 + -1[-17 + 5x2] = 0
11x2 + 6 + [-17 * -1 + 5x2 * -1] = 0
11x2 + 6 + [17 + -5x2] = 0

Reorder the terms:
6 + 17 + 11x2 + -5x2 = 0

Combine like terms: 6 + 17 = 23
23 + 11x2 + -5x2 = 0

Combine like terms: 11x2 + -5x2 = 6x2
23 + 6x2 = 0

Solving
23 + 6x2 = 0

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + 6x2 = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 6x2 = 0 + -23
6x2 = 0 + -23

Combine like terms: 0 + -23 = -23
6x2 = -23

Divide each side by '6'.
x2 = -3.833333333

Simplifying
x2 = -3.833333333

Reorder the terms:
3.833333333 + x2 = -3.833333333 + 3.833333333

Combine like terms: -3.833333333 + 3.833333333 = 0.000000000
3.833333333 + x2 = 0.000000000

The solution to this equation could not be determined.