(5m-3)(4m-1)=

Solution for (5m-3)(4m-1)= equation:

Simplifying
(5m + -3)(4m + -1) = 0

Reorder the terms:
(-3 + 5m)(4m + -1) = 0

Reorder the terms:
(-3 + 5m)(-1 + 4m) = 0

Multiply (-3 + 5m) * (-1 + 4m)
(-3(-1 + 4m) + 5m * (-1 + 4m)) = 0
((-1 * -3 + 4m * -3) + 5m * (-1 + 4m)) = 0
((3 + -12m) + 5m * (-1 + 4m)) = 0
(3 + -12m + (-1 * 5m + 4m * 5m)) = 0
(3 + -12m + (-5m + 20m2)) = 0

Combine like terms: -12m + -5m = -17m
(3 + -17m + 20m2) = 0

Solving
3 + -17m + 20m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + -4m)(3 + -5m) = 0

Subproblem 1
Set the factor '(1 + -4m)' equal to zero and attempt to solve:

Simplifying
1 + -4m = 0

Solving
1 + -4m = 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 + -4m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4m = 0 + -1
-4m = 0 + -1

Combine like terms: 0 + -1 = -1
-4m = -1

Divide each side by '-4'.
m = 0.25

Simplifying
m = 0.25
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 = {0.25, 0.6}