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

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

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

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

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

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

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

Solving
6 + 19m + 15m2 = 0

Solving for variable 'm'.

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

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

Simplifying
2 + 3m = 0

Solving
2 + 3m = 0

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

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

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

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

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

Simplifying
m = -0.6666666667
Subproblem 2
Set the factor '(3 + 5m)' equal to zero and attempt to solve:

Simplifying
3 + 5m = 0

Solving
3 + 5m = 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 + 5m = 0 + -3

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

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

Divide each side by '5'.
m = -0.6

Simplifying
m = -0.6
Solution
m = {-0.6666666667, -0.6}