(m+3)(3m-3)=0

Solution for (m+3)(3m-3)=0 equation:

Simplifying
(m + 3)(3m + -3) = 0

Reorder the terms:
(3 + m)(3m + -3) = 0

Reorder the terms:
(3 + m)(-3 + 3m) = 0

Multiply (3 + m) * (-3 + 3m)
(3(-3 + 3m) + m(-3 + 3m)) = 0
((-3 * 3 + 3m * 3) + m(-3 + 3m)) = 0
((-9 + 9m) + m(-3 + 3m)) = 0
(-9 + 9m + (-3 * m + 3m * m)) = 0
(-9 + 9m + (-3m + 3m2)) = 0

Combine like terms: 9m + -3m = 6m
(-9 + 6m + 3m2) = 0

Solving
-9 + 6m + 3m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-3 + 2m + m2) = 0

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

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

Simplifying
1 + -1m = 0

Solving
1 + -1m = 0

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

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

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

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

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

Simplifying
m = 1
Solution
m = {-3, 1}