4m^2-9m-13=0

Solution for 4m^2-9m-13=0 equation:

Simplifying
4m2 + -9m + -13 = 0

Reorder the terms:
-13 + -9m + 4m2 = 0

Solving
-13 + -9m + 4m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-1 + -1m)(13 + -4m) = 0

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

Simplifying
-1 + -1m = 0

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

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

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

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

Simplifying
m = -1
Subproblem 2
Set the factor '(13 + -4m)' equal to zero and attempt to solve:

Simplifying
13 + -4m = 0

Solving
13 + -4m = 0

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

Add '-13' to each side of the equation.
13 + -13 + -4m = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -4m = 0 + -13
-4m = 0 + -13

Combine like terms: 0 + -13 = -13
-4m = -13

Divide each side by '-4'.
m = 3.25

Simplifying
m = 3.25
Solution
m = {-1, 3.25}