-((3m-4)(m-2))=0

Solution for -((3m-4)(m-2))=0 equation:

Simplifying
-1((3m + -4)(m + -2)) = 0

Reorder the terms:
-1((-4 + 3m)(m + -2)) = 0

Reorder the terms:
-1((-4 + 3m)(-2 + m)) = 0

Multiply (-4 + 3m) * (-2 + m)
-1((-4(-2 + m) + 3m * (-2 + m))) = 0
-1(((-2 * -4 + m * -4) + 3m * (-2 + m))) = 0
-1(((8 + -4m) + 3m * (-2 + m))) = 0
-1((8 + -4m + (-2 * 3m + m * 3m))) = 0
-1((8 + -4m + (-6m + 3m2))) = 0

Combine like terms: -4m + -6m = -10m
-1((8 + -10m + 3m2)) = 0
(8 * -1 + -10m * -1 + 3m2 * -1) = 0
(-8 + 10m + -3m2) = 0

Solving
-8 + 10m + -3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-2 + m)(4 + -3m) = 0

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

Simplifying
-2 + m = 0

Solving
-2 + m = 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 + m = 0 + 2

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

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

Simplifying
m = 2
Subproblem 2
Set the factor '(4 + -3m)' equal to zero and attempt to solve:

Simplifying
4 + -3m = 0

Solving
4 + -3m = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3m = 0 + -4
-3m = 0 + -4

Combine like terms: 0 + -4 = -4
-3m = -4

Divide each side by '-3'.
m = 1.333333333

Simplifying
m = 1.333333333
Solution
m = {2, 1.333333333}