63x^2-27-[8(x^2-1)+2]=

Solution for 63x^2-27-[8(x^2-1)+2]= equation:

Simplifying
63x2 + -27 + -1[8(x2 + -1) + 2] = 0

Reorder the terms:
63x2 + -27 + -1[8(-1 + x2) + 2] = 0
63x2 + -27 + -1[(-1 * 8 + x2 * 8) + 2] = 0
63x2 + -27 + -1[(-8 + 8x2) + 2] = 0

Reorder the terms:
63x2 + -27 + -1[-8 + 2 + 8x2] = 0

Combine like terms: -8 + 2 = -6
63x2 + -27 + -1[-6 + 8x2] = 0
63x2 + -27 + [-6 * -1 + 8x2 * -1] = 0
63x2 + -27 + [6 + -8x2] = 0

Reorder the terms:
-27 + 6 + 63x2 + -8x2 = 0

Combine like terms: -27 + 6 = -21
-21 + 63x2 + -8x2 = 0

Combine like terms: 63x2 + -8x2 = 55x2
-21 + 55x2 = 0

Solving
-21 + 55x2 = 0

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 55x2 = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 55x2 = 0 + 21
55x2 = 0 + 21

Combine like terms: 0 + 21 = 21
55x2 = 21

Divide each side by '55'.
x2 = 0.3818181818

Simplifying
x2 = 0.3818181818

Take the square root of each side:
x = {-0.617914381, 0.617914381}