6m^2-13m-1=4

Solution for 6m^2-13m-1=4 equation:

Simplifying
6m2 + -13m + -1 = 4

Reorder the terms:
-1 + -13m + 6m2 = 4

Solving
-1 + -13m + 6m2 = 4

Solving for variable 'm'.

Reorder the terms:
-1 + -4 + -13m + 6m2 = 4 + -4

Combine like terms: -1 + -4 = -5
-5 + -13m + 6m2 = 4 + -4

Combine like terms: 4 + -4 = 0
-5 + -13m + 6m2 = 0

Factor a trinomial.
(-1 + -3m)(5 + -2m) = 0

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

Simplifying
-1 + -3m = 0

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

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

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

Divide each side by '-3'.
m = -0.3333333333

Simplifying
m = -0.3333333333
Subproblem 2
Set the factor '(5 + -2m)' equal to zero and attempt to solve:

Simplifying
5 + -2m = 0

Solving
5 + -2m = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2m = 0 + -5
-2m = 0 + -5

Combine like terms: 0 + -5 = -5
-2m = -5

Divide each side by '-2'.
m = 2.5

Simplifying
m = 2.5
Solution
m = {-0.3333333333, 2.5}