m^2-30m+81=

Solution for m^2-30m+81= equation:

Simplifying
m2 + -30m + 81 = 0

Reorder the terms:
81 + -30m + m2 = 0

Solving
81 + -30m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(3 + -1m)(27 + -1m) = 0

Subproblem 1
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

Solving
3 + -1m = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1m = 0 + -3

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

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

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Subproblem 2
Set the factor '(27 + -1m)' equal to zero and attempt to solve:

Simplifying
27 + -1m = 0

Solving
27 + -1m = 0

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

Add '-27' to each side of the equation.
27 + -27 + -1m = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -1m = 0 + -27
-1m = 0 + -27

Combine like terms: 0 + -27 = -27
-1m = -27

Divide each side by '-1'.
m = 27

Simplifying
m = 27
Solution
m = {3, 27}