(m+3)(m-3m+9)=

Solution for (m+3)(m-3m+9)= equation:

Simplifying
(m + 3)(m + -3m + 9) = 0

Reorder the terms:
(3 + m)(m + -3m + 9) = 0

Reorder the terms:
(3 + m)(9 + m + -3m) = 0

Combine like terms: m + -3m = -2m
(3 + m)(9 + -2m) = 0

Multiply (3 + m) * (9 + -2m)
(3(9 + -2m) + m(9 + -2m)) = 0
((9 * 3 + -2m * 3) + m(9 + -2m)) = 0
((27 + -6m) + m(9 + -2m)) = 0
(27 + -6m + (9 * m + -2m * m)) = 0
(27 + -6m + (9m + -2m2)) = 0

Combine like terms: -6m + 9m = 3m
(27 + 3m + -2m2) = 0

Solving
27 + 3m + -2m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(9 + -2m)(3 + m) = 0

Subproblem 1
Set the factor '(9 + -2m)' equal to zero and attempt to solve:

Simplifying
9 + -2m = 0

Solving
9 + -2m = 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 + -2m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2m = 0 + -9
-2m = 0 + -9

Combine like terms: 0 + -9 = -9
-2m = -9

Divide each side by '-2'.
m = 4.5

Simplifying
m = 4.5
Subproblem 2
Set the factor '(3 + m)' equal to zero and attempt to solve:

Simplifying
3 + m = 0

Solving
3 + m = 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 + m = 0 + -3

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

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

Simplifying
m = -3
Solution
m = {4.5, -3}