(6m-11)(4m-6)=0

Solution for (6m-11)(4m-6)=0 equation:

Simplifying
(6m + -11)(4m + -6) = 0

Reorder the terms:
(-11 + 6m)(4m + -6) = 0

Reorder the terms:
(-11 + 6m)(-6 + 4m) = 0

Multiply (-11 + 6m) * (-6 + 4m)
(-11(-6 + 4m) + 6m * (-6 + 4m)) = 0
((-6 * -11 + 4m * -11) + 6m * (-6 + 4m)) = 0
((66 + -44m) + 6m * (-6 + 4m)) = 0
(66 + -44m + (-6 * 6m + 4m * 6m)) = 0
(66 + -44m + (-36m + 24m2)) = 0

Combine like terms: -44m + -36m = -80m
(66 + -80m + 24m2) = 0

Solving
66 + -80m + 24m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(33 + -40m + 12m2) = 0

Factor a trinomial.
2((3 + -2m)(11 + -6m)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -2m)' equal to zero and attempt to solve:

Simplifying
3 + -2m = 0

Solving
3 + -2m = 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 + -2m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2m = 0 + -3
-2m = 0 + -3

Combine like terms: 0 + -3 = -3
-2m = -3

Divide each side by '-2'.
m = 1.5

Simplifying
m = 1.5
Subproblem 2
Set the factor '(11 + -6m)' equal to zero and attempt to solve:

Simplifying
11 + -6m = 0

Solving
11 + -6m = 0

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

Add '-11' to each side of the equation.
11 + -11 + -6m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -6m = 0 + -11
-6m = 0 + -11

Combine like terms: 0 + -11 = -11
-6m = -11

Divide each side by '-6'.
m = 1.833333333

Simplifying
m = 1.833333333
Solution
m = {1.5, 1.833333333}