(4a^2-9)=0

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

Simplifying
(4a2 + -9) = 0

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

Remove parenthesis around (-9 + 4a2)
-9 + 4a2 = 0

Solving
-9 + 4a2 = 0

Solving for variable 'a'.

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

Add '9' to each side of the equation.
-9 + 9 + 4a2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4a2 = 0 + 9
4a2 = 0 + 9

Combine like terms: 0 + 9 = 9
4a2 = 9

Divide each side by '4'.
a2 = 2.25

Simplifying
a2 = 2.25

Take the square root of each side:
a = {-1.5, 1.5}