m(6m+11)=10

Solution for m(6m+11)=10 equation:

Simplifying
m(6m + 11) = 10

Reorder the terms:
m(11 + 6m) = 10
(11 * m + 6m * m) = 10
(11m + 6m2) = 10

Solving
11m + 6m2 = 10

Solving for variable 'm'.

Reorder the terms:
-10 + 11m + 6m2 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 11m + 6m2 = 0

Factor a trinomial.
(-5 + -2m)(2 + -3m) = 0

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

Simplifying
-5 + -2m = 0

Solving
-5 + -2m = 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 + -2m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2m = 0 + 5
-2m = 0 + 5

Combine like terms: 0 + 5 = 5
-2m = 5

Divide each side by '-2'.
m = -2.5

Simplifying
m = -2.5
Subproblem 2
Set the factor '(2 + -3m)' equal to zero and attempt to solve:

Simplifying
2 + -3m = 0

Solving
2 + -3m = 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 + -3m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3m = 0 + -2
-3m = 0 + -2

Combine like terms: 0 + -2 = -2
-3m = -2

Divide each side by '-3'.
m = 0.6666666667

Simplifying
m = 0.6666666667
Solution
m = {-2.5, 0.6666666667}