4a^2-2=-1

Solution for 4a^2-2=-1 equation:

Simplifying
4a2 + -2 = -1

Reorder the terms:
-2 + 4a2 = -1

Solving
-2 + 4a2 = -1

Solving for variable 'a'.

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

Add '2' to each side of the equation.
-2 + 2 + 4a2 = -1 + 2

Combine like terms: -2 + 2 = 0
0 + 4a2 = -1 + 2
4a2 = -1 + 2

Combine like terms: -1 + 2 = 1
4a2 = 1

Divide each side by '4'.
a2 = 0.25

Simplifying
a2 = 0.25

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