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

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

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

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

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

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

Combine like terms: -4m + -3m = -7m
(12 + -7m + m2) = 0

Solving
12 + -7m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(3 + -1m)(4 + -1m) = 0

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

Simplifying
3 + -1m = 0

Solving
3 + -1m = 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 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve:

Simplifying
4 + -1m = 0

Solving
4 + -1m = 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 + -1m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1m = 0 + -4
-1m = 0 + -4

Combine like terms: 0 + -4 = -4
-1m = -4

Divide each side by '-1'.
m = 4

Simplifying
m = 4
Solution
m = {3, 4}