-3m(m+3)+2(m+3)=

Solution for -3m(m+3)+2(m+3)= equation:

Simplifying
-3m(m + 3) + 2(m + 3) = 0

Reorder the terms:
-3m(3 + m) + 2(m + 3) = 0
(3 * -3m + m * -3m) + 2(m + 3) = 0
(-9m + -3m2) + 2(m + 3) = 0

Reorder the terms:
-9m + -3m2 + 2(3 + m) = 0
-9m + -3m2 + (3 * 2 + m * 2) = 0
-9m + -3m2 + (6 + 2m) = 0

Reorder the terms:
6 + -9m + 2m + -3m2 = 0

Combine like terms: -9m + 2m = -7m
6 + -7m + -3m2 = 0

Solving
6 + -7m + -3m2 = 0

Solving for variable 'm'.

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

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

Simplifying
2 + -3m = 0

Solving
2 + -3m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3m = 0 + -2
-3m = 0 + -2

Combine like terms: 0 + -2 = -2
-3m = -2

Divide each side by '-3'.
m = 0.6666666667

Simplifying
m = 0.6666666667
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 = {0.6666666667, -3}