(-1-2m)(5-3m)=

Solution for (-1-2m)(5-3m)= equation:

Simplifying
(-1 + -2m)(5 + -3m) = 0

Multiply (-1 + -2m) * (5 + -3m)
(-1(5 + -3m) + -2m * (5 + -3m)) = 0
((5 * -1 + -3m * -1) + -2m * (5 + -3m)) = 0
((-5 + 3m) + -2m * (5 + -3m)) = 0
(-5 + 3m + (5 * -2m + -3m * -2m)) = 0
(-5 + 3m + (-10m + 6m2)) = 0

Combine like terms: 3m + -10m = -7m
(-5 + -7m + 6m2) = 0

Solving
-5 + -7m + 6m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-1 + -2m)(5 + -3m) = 0

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 + -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 = {-0.5, 1.666666667}