a^2-3(1-a^2)=0

Solution for a^2-3(1-a^2)=0 equation:

Simplifying
a2 + -3(1 + -1a2) = 0
a2 + (1 * -3 + -1a2 * -3) = 0
a2 + (-3 + 3a2) = 0

Reorder the terms:
-3 + a2 + 3a2 = 0

Combine like terms: a2 + 3a2 = 4a2
-3 + 4a2 = 0

Solving
-3 + 4a2 = 0

Solving for variable 'a'.

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

Add '3' to each side of the equation.
-3 + 3 + 4a2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4a2 = 0 + 3
4a2 = 0 + 3

Combine like terms: 0 + 3 = 3
4a2 = 3

Divide each side by '4'.
a2 = 0.75

Simplifying
a2 = 0.75

Take the square root of each side:
a = {-0.866025404, 0.866025404}