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

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

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

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

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

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

Solving
-9 + 9m + 10m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-3 + -2m)(3 + -5m) = 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 '(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 = {-1.5, 0.6}