8m^2-51m+18=0

Solution for 8m^2-51m+18=0 equation:

Simplifying
8m2 + -51m + 18 = 0

Reorder the terms:
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}