x^2+8x^2-2=0

Solution for x^2+8x^2-2=0 equation:

Simplifying
x2 + 8x2 + -2 = 0

Reorder the terms:
-2 + x2 + 8x2 = 0

Combine like terms: x2 + 8x2 = 9x2
-2 + 9x2 = 0

Solving
-2 + 9x2 = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 9x2 = 0 + 2

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

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

Divide each side by '9'.
x2 = 0.2222222222

Simplifying
x2 = 0.2222222222

Take the square root of each side:
x = {-0.471404521, 0.471404521}