2(3-4x^2)-4=x^2+1

Solution for 2(3-4x^2)-4=x^2+1 equation:

Simplifying
2(3 + -4x2) + -4 = x2 + 1
(3 * 2 + -4x2 * 2) + -4 = x2 + 1
(6 + -8x2) + -4 = x2 + 1

Reorder the terms:
6 + -4 + -8x2 = x2 + 1

Combine like terms: 6 + -4 = 2
2 + -8x2 = x2 + 1

Reorder the terms:
2 + -8x2 = 1 + x2

Solving
2 + -8x2 = 1 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
2 + -8x2 + -1x2 = 1 + x2 + -1x2

Combine like terms: -8x2 + -1x2 = -9x2
2 + -9x2 = 1 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2 + -9x2 = 1 + 0
2 + -9x2 = 1

Add '-2' to each side of the equation.
2 + -2 + -9x2 = 1 + -2

Combine like terms: 2 + -2 = 0
0 + -9x2 = 1 + -2
-9x2 = 1 + -2

Combine like terms: 1 + -2 = -1
-9x2 = -1

Divide each side by '-9'.
x2 = 0.1111111111

Simplifying
x2 = 0.1111111111

Take the square root of each side:
x = {-0.333333333, 0.333333333}