(4m^2-9)=0

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

Simplifying
(4m2 + -9) = 0

Reorder the terms:
(-9 + 4m2) = 0

Remove parenthesis around (-9 + 4m2)
-9 + 4m2 = 0

Solving
-9 + 4m2 = 0

Solving for variable 'm'.

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

Add '9' to each side of the equation.
-9 + 9 + 4m2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4m2 = 0 + 9
4m2 = 0 + 9

Combine like terms: 0 + 9 = 9
4m2 = 9

Divide each side by '4'.
m2 = 2.25

Simplifying
m2 = 2.25

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