(2m-3)(2m+3)=

Solution for (2m-3)(2m+3)= equation:

Simplifying
(2m + -3)(2m + 3) = 0

Reorder the terms:
(-3 + 2m)(2m + 3) = 0

Reorder the terms:
(-3 + 2m)(3 + 2m) = 0

Multiply (-3 + 2m) * (3 + 2m)
(-3(3 + 2m) + 2m * (3 + 2m)) = 0
((3 * -3 + 2m * -3) + 2m * (3 + 2m)) = 0
((-9 + -6m) + 2m * (3 + 2m)) = 0
(-9 + -6m + (3 * 2m + 2m * 2m)) = 0
(-9 + -6m + (6m + 4m2)) = 0

Combine like terms: -6m + 6m = 0
(-9 + 0 + 4m2) = 0
(-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}