m(m-11)=-30

Solution for m(m-11)=-30 equation:

Simplifying
m(m + -11) = -30

Reorder the terms:
m(-11 + m) = -30
(-11 * m + m * m) = -30
(-11m + m2) = -30

Solving
-11m + m2 = -30

Solving for variable 'm'.

Reorder the terms:
30 + -11m + m2 = -30 + 30

Combine like terms: -30 + 30 = 0
30 + -11m + m2 = 0

Factor a trinomial.
(5 + -1m)(6 + -1m) = 0

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

Simplifying
5 + -1m = 0

Solving
5 + -1m = 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 + -1m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1m = 0 + -5
-1m = 0 + -5

Combine like terms: 0 + -5 = -5
-1m = -5

Divide each side by '-1'.
m = 5

Simplifying
m = 5
Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve:

Simplifying
6 + -1m = 0

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

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

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

Divide each side by '-1'.
m = 6

Simplifying
m = 6
Solution
m = {5, 6}