3m^2+49m+16=0

Solution for 3m^2+49m+16=0 equation:

Simplifying
3m2 + 49m + 16 = 0

Reorder the terms:
16 + 49m + 3m2 = 0

Solving
16 + 49m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(16 + m)(1 + 3m) = 0

Subproblem 1
Set the factor '(16 + m)' equal to zero and attempt to solve:

Simplifying
16 + m = 0

Solving
16 + m = 0

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

Add '-16' to each side of the equation.
16 + -16 + m = 0 + -16

Combine like terms: 16 + -16 = 0
0 + m = 0 + -16
m = 0 + -16

Combine like terms: 0 + -16 = -16
m = -16

Simplifying
m = -16
Subproblem 2
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
Solution
m = {-16, -0.3333333333}