(5m-6)(3m+4)=

Solution for (5m-6)(3m+4)= equation:

Simplifying
(5m + -6)(3m + 4) = 0

Reorder the terms:
(-6 + 5m)(3m + 4) = 0

Reorder the terms:
(-6 + 5m)(4 + 3m) = 0

Multiply (-6 + 5m) * (4 + 3m)
(-6(4 + 3m) + 5m * (4 + 3m)) = 0
((4 * -6 + 3m * -6) + 5m * (4 + 3m)) = 0
((-24 + -18m) + 5m * (4 + 3m)) = 0
(-24 + -18m + (4 * 5m + 3m * 5m)) = 0
(-24 + -18m + (20m + 15m2)) = 0

Combine like terms: -18m + 20m = 2m
(-24 + 2m + 15m2) = 0

Solving
-24 + 2m + 15m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-4 + -3m)(6 + -5m) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(6 + -5m)' equal to zero and attempt to solve:

Simplifying
6 + -5m = 0

Solving
6 + -5m = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5m = 0 + -6
-5m = 0 + -6

Combine like terms: 0 + -6 = -6
-5m = -6

Divide each side by '-5'.
m = 1.2

Simplifying
m = 1.2
Solution
m = {-1.333333333, 1.2}