9(a^2-4)+1=0

Solution for 9(a^2-4)+1=0 equation:

Simplifying
9(a2 + -4) + 1 = 0

Reorder the terms:
9(-4 + a2) + 1 = 0
(-4 * 9 + a2 * 9) + 1 = 0
(-36 + 9a2) + 1 = 0

Reorder the terms:
-36 + 1 + 9a2 = 0

Combine like terms: -36 + 1 = -35
-35 + 9a2 = 0

Solving
-35 + 9a2 = 0

Solving for variable 'a'.

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

Add '35' to each side of the equation.
-35 + 35 + 9a2 = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 9a2 = 0 + 35
9a2 = 0 + 35

Combine like terms: 0 + 35 = 35
9a2 = 35

Divide each side by '9'.
a2 = 3.888888889

Simplifying
a2 = 3.888888889

Take the square root of each side:
a = {-1.972026594, 1.972026594}