11m^2+82m=-3m^2-60

Solution for 11m^2+82m=-3m^2-60 equation:

Simplifying
11m2 + 82m = -3m2 + -60

Reorder the terms:
82m + 11m2 = -3m2 + -60

Reorder the terms:
82m + 11m2 = -60 + -3m2

Solving
82m + 11m2 = -60 + -3m2

Solving for variable 'm'.

Reorder the terms:
60 + 82m + 11m2 + 3m2 = -60 + -3m2 + 60 + 3m2

Combine like terms: 11m2 + 3m2 = 14m2
60 + 82m + 14m2 = -60 + -3m2 + 60 + 3m2

Reorder the terms:
60 + 82m + 14m2 = -60 + 60 + -3m2 + 3m2

Combine like terms: -60 + 60 = 0
60 + 82m + 14m2 = 0 + -3m2 + 3m2
60 + 82m + 14m2 = -3m2 + 3m2

Combine like terms: -3m2 + 3m2 = 0
60 + 82m + 14m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(30 + 41m + 7m2) = 0

Factor a trinomial.
2((5 + m)(6 + 7m)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + m)' equal to zero and attempt to solve:

Simplifying
5 + m = 0

Solving
5 + m = 0

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

Add '-5' to each side of the equation.
5 + -5 + m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + m = 0 + -5
m = 0 + -5

Combine like terms: 0 + -5 = -5
m = -5

Simplifying
m = -5
Subproblem 2
Set the factor '(6 + 7m)' equal to zero and attempt to solve:

Simplifying
6 + 7m = 0

Solving
6 + 7m = 0

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

Add '-6' to each side of the equation.
6 + -6 + 7m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7m = 0 + -6
7m = 0 + -6

Combine like terms: 0 + -6 = -6
7m = -6

Divide each side by '7'.
m = -0.8571428571

Simplifying
m = -0.8571428571
Solution
m = {-5, -0.8571428571}