(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 = -1m
(-15 + -1m + 6m2) = 0

Solving
-15 + -1m + 6m2 = 0

Solving for variable 'm'.

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

Subproblem 1
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
Subproblem 2
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
Solution
m = {-1.5, 1.666666667}