(8m-3)(m-6)=0

Solution for (8m-3)(m-6)=0 equation:

Simplifying
(8m + -3)(m + -6) = 0

Reorder the terms:
(-3 + 8m)(m + -6) = 0

Reorder the terms:
(-3 + 8m)(-6 + m) = 0

Multiply (-3 + 8m) * (-6 + m)
(-3(-6 + m) + 8m * (-6 + m)) = 0
((-6 * -3 + m * -3) + 8m * (-6 + m)) = 0
((18 + -3m) + 8m * (-6 + m)) = 0
(18 + -3m + (-6 * 8m + m * 8m)) = 0
(18 + -3m + (-48m + 8m2)) = 0

Combine like terms: -3m + -48m = -51m
(18 + -51m + 8m2) = 0

Solving
18 + -51m + 8m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(3 + -8m)(6 + -1m) = 0

Subproblem 1
Set the factor '(3 + -8m)' equal to zero and attempt to solve:

Simplifying
3 + -8m = 0

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

Combine like terms: 3 + -3 = 0
0 + -8m = 0 + -3
-8m = 0 + -3

Combine like terms: 0 + -3 = -3
-8m = -3

Divide each side by '-8'.
m = 0.375

Simplifying
m = 0.375
Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve:

Simplifying
6 + -1m = 0

Solving
6 + -1m = 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 + -1m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = 0 + -6
-1m = 0 + -6

Combine like terms: 0 + -6 = -6
-1m = -6

Divide each side by '-1'.
m = 6

Simplifying
m = 6
Solution
m = {0.375, 6}