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

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

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

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

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

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

Combine like terms: -2m + -15m = -17m
(10 + -17m + 3m2) = 0

Solving
10 + -17m + 3m2 = 0

Solving for variable 'm'.

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

Subproblem 1
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
Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve:

Simplifying
5 + -1m = 0

Solving
5 + -1m = 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 + -1m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1m = 0 + -5
-1m = 0 + -5

Combine like terms: 0 + -5 = -5
-1m = -5

Divide each side by '-1'.
m = 5

Simplifying
m = 5
Solution
m = {0.6666666667, 5}