6m^2-13m+4=2

Solution for 6m^2-13m+4=2 equation:

Simplifying
6m2 + -13m + 4 = 2

Reorder the terms:
4 + -13m + 6m2 = 2

Solving
4 + -13m + 6m2 = 2

Solving for variable 'm'.

Reorder the terms:
4 + -2 + -13m + 6m2 = 2 + -2

Combine like terms: 4 + -2 = 2
2 + -13m + 6m2 = 2 + -2

Combine like terms: 2 + -2 = 0
2 + -13m + 6m2 = 0

Factor a trinomial.
(1 + -6m)(2 + -1m) = 0

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

Simplifying
1 + -6m = 0

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

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

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

Divide each side by '-6'.
m = 0.1666666667

Simplifying
m = 0.1666666667
Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {0.1666666667, 2}