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

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

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

Multiply (3h + -2m) * (2h + m)
(3h * (2h + m) + -2m * (2h + m)) = 0
((2h * 3h + m * 3h) + -2m * (2h + m)) = 0

Reorder the terms:
((3hm + 6h2) + -2m * (2h + m)) = 0
((3hm + 6h2) + -2m * (2h + m)) = 0
(3hm + 6h2 + (2h * -2m + m * -2m)) = 0
(3hm + 6h2 + (-4hm + -2m2)) = 0

Reorder the terms:
(3hm + -4hm + 6h2 + -2m2) = 0

Combine like terms: 3hm + -4hm = -1hm
(-1hm + 6h2 + -2m2) = 0

Solving
-1hm + 6h2 + -2m2 = 0

Solving for variable 'h'.

Factor a trinomial.
(3h + -2m)(2h + m) = 0

Subproblem 1
Set the factor '(3h + -2m)' equal to zero and attempt to solve:

Simplifying
3h + -2m = 0

Solving
3h + -2m = 0

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

Add '2m' to each side of the equation.
3h + -2m + 2m = 0 + 2m

Combine like terms: -2m + 2m = 0
3h + 0 = 0 + 2m
3h = 0 + 2m
Remove the zero:
3h = 2m

Divide each side by '3'.
h = 0.6666666667m

Simplifying
h = 0.6666666667m
Subproblem 2
Set the factor '(2h + m)' equal to zero and attempt to solve:

Simplifying
2h + m = 0

Solving
2h + m = 0

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

Add '-1m' to each side of the equation.
2h + m + -1m = 0 + -1m

Combine like terms: m + -1m = 0
2h + 0 = 0 + -1m
2h = 0 + -1m
Remove the zero:
2h = -1m

Divide each side by '2'.
h = -0.5m

Simplifying
h = -0.5m
Solution
h = {0.6666666667m, -0.5m}