(2m+9)(2m-9)=

Solution for (2m+9)(2m-9)= equation:

Simplifying
(2m + 9)(2m + -9) = 0

Reorder the terms:
(9 + 2m)(2m + -9) = 0

Reorder the terms:
(9 + 2m)(-9 + 2m) = 0

Multiply (9 + 2m) * (-9 + 2m)
(9(-9 + 2m) + 2m * (-9 + 2m)) = 0
((-9 * 9 + 2m * 9) + 2m * (-9 + 2m)) = 0
((-81 + 18m) + 2m * (-9 + 2m)) = 0
(-81 + 18m + (-9 * 2m + 2m * 2m)) = 0
(-81 + 18m + (-18m + 4m2)) = 0

Combine like terms: 18m + -18m = 0
(-81 + 0 + 4m2) = 0
(-81 + 4m2) = 0

Solving
-81 + 4m2 = 0

Solving for variable 'm'.

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

Add '81' to each side of the equation.
-81 + 81 + 4m2 = 0 + 81

Combine like terms: -81 + 81 = 0
0 + 4m2 = 0 + 81
4m2 = 0 + 81

Combine like terms: 0 + 81 = 81
4m2 = 81

Divide each side by '4'.
m2 = 20.25

Simplifying
m2 = 20.25

Take the square root of each side:
m = {-4.5, 4.5}