m^2=18-3m

Solution for m^2=18-3m equation:

Simplifying
m2 = 18 + -3m

Solving
m2 = 18 + -3m

Solving for variable 'm'.

Reorder the terms:
-18 + 3m + m2 = 18 + -3m + -18 + 3m

Reorder the terms:
-18 + 3m + m2 = 18 + -18 + -3m + 3m

Combine like terms: 18 + -18 = 0
-18 + 3m + m2 = 0 + -3m + 3m
-18 + 3m + m2 = -3m + 3m

Combine like terms: -3m + 3m = 0
-18 + 3m + m2 = 0

Factor a trinomial.
(-6 + -1m)(3 + -1m) = 0

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

Simplifying
-6 + -1m = 0

Solving
-6 + -1m = 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 + -1m = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1m = 0 + 6
-1m = 0 + 6

Combine like terms: 0 + 6 = 6
-1m = 6

Divide each side by '-1'.
m = -6

Simplifying
m = -6
Subproblem 2
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
Solution
m = {-6, 3}