0=-4m^2-11m-6

Solution for 0=-4m^2-11m-6 equation:

Simplifying
0 = -4m2 + -11m + -6

Reorder the terms:
0 = -6 + -11m + -4m2

Solving
0 = -6 + -11m + -4m2

Solving for variable 'm'.

Combine like terms: 0 + 6 = 6
6 + 11m + 4m2 = -6 + -11m + -4m2 + 6 + 11m + 4m2

Reorder the terms:
6 + 11m + 4m2 = -6 + 6 + -11m + 11m + -4m2 + 4m2

Combine like terms: -6 + 6 = 0
6 + 11m + 4m2 = 0 + -11m + 11m + -4m2 + 4m2
6 + 11m + 4m2 = -11m + 11m + -4m2 + 4m2

Combine like terms: -11m + 11m = 0
6 + 11m + 4m2 = 0 + -4m2 + 4m2
6 + 11m + 4m2 = -4m2 + 4m2

Combine like terms: -4m2 + 4m2 = 0
6 + 11m + 4m2 = 0

Factor a trinomial.
(2 + m)(3 + 4m) = 0

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

Simplifying
2 + m = 0

Solving
2 + m = 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 + m = 0 + -2

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

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

Simplifying
m = -2
Subproblem 2
Set the factor '(3 + 4m)' equal to zero and attempt to solve:

Simplifying
3 + 4m = 0

Solving
3 + 4m = 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 + 4m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4m = 0 + -3
4m = 0 + -3

Combine like terms: 0 + -3 = -3
4m = -3

Divide each side by '4'.
m = -0.75

Simplifying
m = -0.75
Solution
m = {-2, -0.75}