54=m(m-3)

Solution for 54=m(m-3) equation:

Simplifying
54 = m(m + -3)

Reorder the terms:
54 = m(-3 + m)
54 = (-3 * m + m * m)
54 = (-3m + m2)

Solving
54 = -3m + m2

Solving for variable 'm'.

Reorder the terms:
54 + 3m + -1m2 = -3m + 3m + m2 + -1m2

Combine like terms: -3m + 3m = 0
54 + 3m + -1m2 = 0 + m2 + -1m2
54 + 3m + -1m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
54 + 3m + -1m2 = 0

Factor a trinomial.
(9 + -1m)(6 + m) = 0

Subproblem 1
Set the factor '(9 + -1m)' equal to zero and attempt to solve:

Simplifying
9 + -1m = 0

Solving
9 + -1m = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1m = 0 + -9
-1m = 0 + -9

Combine like terms: 0 + -9 = -9
-1m = -9

Divide each side by '-1'.
m = 9

Simplifying
m = 9
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 = {9, -6}