2x^2-8a^2=0

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

Simplifying
2x2 + -8a2 = 0

Reorder the terms:
-8a2 + 2x2 = 0

Solving
-8a2 + 2x2 = 0

Solving for variable 'a'.

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

Add '-2x2' to each side of the equation.
-8a2 + 2x2 + -2x2 = 0 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-8a2 + 0 = 0 + -2x2
-8a2 = 0 + -2x2
Remove the zero:
-8a2 = -2x2

Divide each side by '-8'.
a2 = 0.25x2

Simplifying
a2 = 0.25x2

Take the square root of each side:
a = {-0.5x, 0.5x}