3m^2+31m+59=3

Solution for 3m^2+31m+59=3 equation:

Simplifying
3m2 + 31m + 59 = 3

Reorder the terms:
59 + 31m + 3m2 = 3

Solving
59 + 31m + 3m2 = 3

Solving for variable 'm'.

Reorder the terms:
59 + -3 + 31m + 3m2 = 3 + -3

Combine like terms: 59 + -3 = 56
56 + 31m + 3m2 = 3 + -3

Combine like terms: 3 + -3 = 0
56 + 31m + 3m2 = 0

Factor a trinomial.
(8 + m)(7 + 3m) = 0

Subproblem 1
Set the factor '(8 + m)' equal to zero and attempt to solve:

Simplifying
8 + m = 0

Solving
8 + m = 0

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

Add '-8' to each side of the equation.
8 + -8 + m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + m = 0 + -8
m = 0 + -8

Combine like terms: 0 + -8 = -8
m = -8

Simplifying
m = -8
Subproblem 2
Set the factor '(7 + 3m)' equal to zero and attempt to solve:

Simplifying
7 + 3m = 0

Solving
7 + 3m = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3m = 0 + -7
3m = 0 + -7

Combine like terms: 0 + -7 = -7
3m = -7

Divide each side by '3'.
m = -2.333333333

Simplifying
m = -2.333333333
Solution
m = {-8, -2.333333333}