(3m+5)(2m+3)=

Solution for (3m+5)(2m+3)= equation:

Simplifying
(3m + 5)(2m + 3) = 0

Reorder the terms:
(5 + 3m)(2m + 3) = 0

Reorder the terms:
(5 + 3m)(3 + 2m) = 0

Multiply (5 + 3m) * (3 + 2m)
(5(3 + 2m) + 3m * (3 + 2m)) = 0
((3 * 5 + 2m * 5) + 3m * (3 + 2m)) = 0
((15 + 10m) + 3m * (3 + 2m)) = 0
(15 + 10m + (3 * 3m + 2m * 3m)) = 0
(15 + 10m + (9m + 6m2)) = 0

Combine like terms: 10m + 9m = 19m
(15 + 19m + 6m2) = 0

Solving
15 + 19m + 6m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(5 + 3m)(3 + 2m) = 0

Subproblem 1
Set the factor '(5 + 3m)' equal to zero and attempt to solve:

Simplifying
5 + 3m = 0

Solving
5 + 3m = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3m = 0 + -5
3m = 0 + -5

Combine like terms: 0 + -5 = -5
3m = -5

Divide each side by '3'.
m = -1.666666667

Simplifying
m = -1.666666667
Subproblem 2
Set the factor '(3 + 2m)' equal to zero and attempt to solve:

Simplifying
3 + 2m = 0

Solving
3 + 2m = 0

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

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

Combine like terms: 3 + -3 = 0
0 + 2m = 0 + -3
2m = 0 + -3

Combine like terms: 0 + -3 = -3
2m = -3

Divide each side by '2'.
m = -1.5

Simplifying
m = -1.5
Solution
m = {-1.666666667, -1.5}