-3m^2-2m+8=0

Solution for -3m^2-2m+8=0 equation:

Simplifying
-3m2 + -2m + 8 = 0

Reorder the terms:
8 + -2m + -3m2 = 0

Solving
8 + -2m + -3m2 = 0

Solving for variable 'm'.

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

Subproblem 1
Set the factor '(4 + -3m)' equal to zero and attempt to solve:

Simplifying
4 + -3m = 0

Solving
4 + -3m = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3m = 0 + -4

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

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

Divide each side by '-3'.
m = 1.333333333

Simplifying
m = 1.333333333
Subproblem 2
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
Solution
m = {1.333333333, -2}