2m^2-9+4=0

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

Simplifying
2m2 + -9 + 4 = 0

Reorder the terms:
-9 + 4 + 2m2 = 0

Combine like terms: -9 + 4 = -5
-5 + 2m2 = 0

Solving
-5 + 2m2 = 0

Solving for variable 'm'.

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

Add '5' to each side of the equation.
-5 + 5 + 2m2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2m2 = 0 + 5
2m2 = 0 + 5

Combine like terms: 0 + 5 = 5
2m2 = 5

Divide each side by '2'.
m2 = 2.5

Simplifying
m2 = 2.5

Take the square root of each side:
m = {-1.58113883, 1.58113883}