(12m+6)(18-36m)=0

Solution for (12m+6)(18-36m)=0 equation:

Simplifying
(12m + 6)(18 + -36m) = 0

Reorder the terms:
(6 + 12m)(18 + -36m) = 0

Multiply (6 + 12m) * (18 + -36m)
(6(18 + -36m) + 12m * (18 + -36m)) = 0
((18 * 6 + -36m * 6) + 12m * (18 + -36m)) = 0
((108 + -216m) + 12m * (18 + -36m)) = 0
(108 + -216m + (18 * 12m + -36m * 12m)) = 0
(108 + -216m + (216m + -432m2)) = 0

Combine like terms: -216m + 216m = 0
(108 + 0 + -432m2) = 0
(108 + -432m2) = 0

Solving
108 + -432m2 = 0

Solving for variable 'm'.

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

Add '-108' to each side of the equation.
108 + -108 + -432m2 = 0 + -108

Combine like terms: 108 + -108 = 0
0 + -432m2 = 0 + -108
-432m2 = 0 + -108

Combine like terms: 0 + -108 = -108
-432m2 = -108

Divide each side by '-432'.
m2 = 0.25

Simplifying
m2 = 0.25

Take the square root of each side:
m = {-0.5, 0.5}