66=m(m-5)

Solution for 66=m(m-5) equation:

Simplifying
66 = m(m + -5)

Reorder the terms:
66 = m(-5 + m)
66 = (-5 * m + m * m)
66 = (-5m + m2)

Solving
66 = -5m + m2

Solving for variable 'm'.

Reorder the terms:
66 + 5m + -1m2 = -5m + 5m + m2 + -1m2

Combine like terms: -5m + 5m = 0
66 + 5m + -1m2 = 0 + m2 + -1m2
66 + 5m + -1m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
66 + 5m + -1m2 = 0

Factor a trinomial.
(11 + -1m)(6 + m) = 0

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

Simplifying
6 + m = 0

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

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

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

Simplifying
m = -6
Solution
m = {11, -6}