(4m-3)(3m-4)=

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

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

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

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

Multiply (-3 + 4m) * (-4 + 3m)
(-3(-4 + 3m) + 4m * (-4 + 3m)) = 0
((-4 * -3 + 3m * -3) + 4m * (-4 + 3m)) = 0
((12 + -9m) + 4m * (-4 + 3m)) = 0
(12 + -9m + (-4 * 4m + 3m * 4m)) = 0
(12 + -9m + (-16m + 12m2)) = 0

Combine like terms: -9m + -16m = -25m
(12 + -25m + 12m2) = 0

Solving
12 + -25m + 12m2 = 0

Solving for variable 'm'.

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

Subproblem 1
Set the factor '(3 + -4m)' equal to zero and attempt to solve:

Simplifying
3 + -4m = 0

Solving
3 + -4m = 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 + -4m = 0 + -3

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

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

Divide each side by '-4'.
m = 0.75

Simplifying
m = 0.75
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 = {0.75, 1.333333333}