m(m-21)=-110

Solution for m(m-21)=-110 equation:

Simplifying
m(m + -21) = -110

Reorder the terms:
m(-21 + m) = -110
(-21 * m + m * m) = -110
(-21m + m2) = -110

Solving
-21m + m2 = -110

Solving for variable 'm'.

Reorder the terms:
110 + -21m + m2 = -110 + 110

Combine like terms: -110 + 110 = 0
110 + -21m + m2 = 0

Factor a trinomial.
(10 + -1m)(11 + -1m) = 0

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

Simplifying
10 + -1m = 0

Solving
10 + -1m = 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 + -1m = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1m = 0 + -10
-1m = 0 + -10

Combine like terms: 0 + -10 = -10
-1m = -10

Divide each side by '-1'.
m = 10

Simplifying
m = 10
Subproblem 2
Set the factor '(11 + -1m)' equal to zero and attempt to solve:

Simplifying
11 + -1m = 0

Solving
11 + -1m = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1m = 0 + -11
-1m = 0 + -11

Combine like terms: 0 + -11 = -11
-1m = -11

Divide each side by '-1'.
m = 11

Simplifying
m = 11
Solution
m = {10, 11}