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

Subproblem 1
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
Subproblem 2
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
Solution
m = {0.6, 0.6666666667}