7m^2-43m+6=0

Solution for 7m^2-43m+6=0 equation:

Simplifying
7m2 + -43m + 6 = 0

Reorder the terms:
6 + -43m + 7m2 = 0

Solving
6 + -43m + 7m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + -7m)(6 + -1m) = 0

Subproblem 1
Set the factor '(1 + -7m)' equal to zero and attempt to solve:

Simplifying
1 + -7m = 0

Solving
1 + -7m = 0

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

Add '-1' to each side of the equation.
1 + -1 + -7m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7m = 0 + -1
-7m = 0 + -1

Combine like terms: 0 + -1 = -1
-7m = -1

Divide each side by '-7'.
m = 0.1428571429

Simplifying
m = 0.1428571429
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 = {0.1428571429, 6}