10m^2+23m+6=0

Solution for 10m^2+23m+6=0 equation:

Simplifying
10m2 + 23m + 6 = 0

Reorder the terms:
6 + 23m + 10m2 = 0

Solving
6 + 23m + 10m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(2 + m)(3 + 10m) = 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 + 10m)' equal to zero and attempt to solve:

Simplifying
3 + 10m = 0

Solving
3 + 10m = 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 + 10m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 10m = 0 + -3
10m = 0 + -3

Combine like terms: 0 + -3 = -3
10m = -3

Divide each side by '10'.
m = -0.3

Simplifying
m = -0.3
Solution
m = {-2, -0.3}