6(x^2-4)+8-2x^2=27

Solution for 6(x^2-4)+8-2x^2=27 equation:

Simplifying
6(x2 + -4) + 8 + -2x2 = 27

Reorder the terms:
6(-4 + x2) + 8 + -2x2 = 27
(-4 * 6 + x2 * 6) + 8 + -2x2 = 27
(-24 + 6x2) + 8 + -2x2 = 27

Reorder the terms:
-24 + 8 + 6x2 + -2x2 = 27

Combine like terms: -24 + 8 = -16
-16 + 6x2 + -2x2 = 27

Combine like terms: 6x2 + -2x2 = 4x2
-16 + 4x2 = 27

Solving
-16 + 4x2 = 27

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 4x2 = 27 + 16

Combine like terms: -16 + 16 = 0
0 + 4x2 = 27 + 16
4x2 = 27 + 16

Combine like terms: 27 + 16 = 43
4x2 = 43

Divide each side by '4'.
x2 = 10.75

Simplifying
x2 = 10.75

Take the square root of each side:
x = {-3.278719262, 3.278719262}