8x^2+4(x^2-1)=0

Solution for 8x^2+4(x^2-1)=0 equation:

Simplifying
8x2 + 4(x2 + -1) = 0

Reorder the terms:
8x2 + 4(-1 + x2) = 0
8x2 + (-1 * 4 + x2 * 4) = 0
8x2 + (-4 + 4x2) = 0

Reorder the terms:
-4 + 8x2 + 4x2 = 0

Combine like terms: 8x2 + 4x2 = 12x2
-4 + 12x2 = 0

Solving
-4 + 12x2 = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 12x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 12x2 = 0 + 4
12x2 = 0 + 4

Combine like terms: 0 + 4 = 4
12x2 = 4

Divide each side by '12'.
x2 = 0.3333333333

Simplifying
x2 = 0.3333333333

Take the square root of each side:
x = {-0.577350269, 0.577350269}