(3m-4m-5)(4m-2)=

Solution for (3m-4m-5)(4m-2)= equation:

Simplifying
(3m + -4m + -5)(4m + -2) = 0

Reorder the terms:
(-5 + 3m + -4m)(4m + -2) = 0

Combine like terms: 3m + -4m = -1m
(-5 + -1m)(4m + -2) = 0

Reorder the terms:
(-5 + -1m)(-2 + 4m) = 0

Multiply (-5 + -1m) * (-2 + 4m)
(-5(-2 + 4m) + -1m * (-2 + 4m)) = 0
((-2 * -5 + 4m * -5) + -1m * (-2 + 4m)) = 0
((10 + -20m) + -1m * (-2 + 4m)) = 0
(10 + -20m + (-2 * -1m + 4m * -1m)) = 0
(10 + -20m + (2m + -4m2)) = 0

Combine like terms: -20m + 2m = -18m
(10 + -18m + -4m2) = 0

Solving
10 + -18m + -4m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -9m + -2m2) = 0

Factor a trinomial.
2((1 + -2m)(5 + m)) = 0

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

Simplifying
1 + -2m = 0

Solving
1 + -2m = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2m = 0 + -1
-2m = 0 + -1

Combine like terms: 0 + -1 = -1
-2m = -1

Divide each side by '-2'.
m = 0.5

Simplifying
m = 0.5
Subproblem 2
Set the factor '(5 + m)' equal to zero and attempt to solve:

Simplifying
5 + m = 0

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

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

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

Simplifying
m = -5
Solution
m = {0.5, -5}