-m(m-24)=-180

Solution for -m(m-24)=-180 equation:

Simplifying
-1m(m + -24) = -180

Reorder the terms:
-1m(-24 + m) = -180
(-24 * -1m + m * -1m) = -180
(24m + -1m2) = -180

Solving
24m + -1m2 = -180

Solving for variable 'm'.

Reorder the terms:
180 + 24m + -1m2 = -180 + 180

Combine like terms: -180 + 180 = 0
180 + 24m + -1m2 = 0

Factor a trinomial.
(30 + -1m)(6 + m) = 0

Subproblem 1
Set the factor '(30 + -1m)' equal to zero and attempt to solve:

Simplifying
30 + -1m = 0

Solving
30 + -1m = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1m = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1m = 0 + -30
-1m = 0 + -30

Combine like terms: 0 + -30 = -30
-1m = -30

Divide each side by '-1'.
m = 30

Simplifying
m = 30
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 = {30, -6}