(2m-3)(6m-5)=0

Solution for (2m-3)(6m-5)=0 equation:

Simplifying
(2m + -3)(6m + -5) = 0

Reorder the terms:
(-3 + 2m)(6m + -5) = 0

Reorder the terms:
(-3 + 2m)(-5 + 6m) = 0

Multiply (-3 + 2m) * (-5 + 6m)
(-3(-5 + 6m) + 2m * (-5 + 6m)) = 0
((-5 * -3 + 6m * -3) + 2m * (-5 + 6m)) = 0
((15 + -18m) + 2m * (-5 + 6m)) = 0
(15 + -18m + (-5 * 2m + 6m * 2m)) = 0
(15 + -18m + (-10m + 12m2)) = 0

Combine like terms: -18m + -10m = -28m
(15 + -28m + 12m2) = 0

Solving
15 + -28m + 12m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(5 + -6m)(3 + -2m) = 0

Subproblem 1
Set the factor '(5 + -6m)' equal to zero and attempt to solve:

Simplifying
5 + -6m = 0

Solving
5 + -6m = 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 + -6m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6m = 0 + -5
-6m = 0 + -5

Combine like terms: 0 + -5 = -5
-6m = -5

Divide each side by '-6'.
m = 0.8333333333

Simplifying
m = 0.8333333333
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 = {0.8333333333, 1.5}