6m^2+61m=-10

Solution for 6m^2+61m=-10 equation:

Simplifying
6m2 + 61m = -10

Reorder the terms:
61m + 6m2 = -10

Solving
61m + 6m2 = -10

Solving for variable 'm'.

Reorder the terms:
10 + 61m + 6m2 = -10 + 10

Combine like terms: -10 + 10 = 0
10 + 61m + 6m2 = 0

Factor a trinomial.
(10 + m)(1 + 6m) = 0

Subproblem 1
Set the factor '(10 + m)' equal to zero and attempt to solve:

Simplifying
10 + m = 0

Solving
10 + m = 0

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

Add '-10' to each side of the equation.
10 + -10 + m = 0 + -10

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

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

Simplifying
m = -10
Subproblem 2
Set the factor '(1 + 6m)' equal to zero and attempt to solve:

Simplifying
1 + 6m = 0

Solving
1 + 6m = 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 + 6m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6m = 0 + -1
6m = 0 + -1

Combine like terms: 0 + -1 = -1
6m = -1

Divide each side by '6'.
m = -0.1666666667

Simplifying
m = -0.1666666667
Solution
m = {-10, -0.1666666667}