2m(2m+6)=-9

Solution for 2m(2m+6)=-9 equation:

Simplifying
2m(2m + 6) = -9

Reorder the terms:
2m(6 + 2m) = -9
(6 * 2m + 2m * 2m) = -9
(12m + 4m2) = -9

Solving
12m + 4m2 = -9

Solving for variable 'm'.

Reorder the terms:
9 + 12m + 4m2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + 12m + 4m2 = 0

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

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

Simplifying
3 + 2m = 0

Solving
3 + 2m = 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 + 2m = 0 + -3

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

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

Divide each side by '2'.
m = -1.5

Simplifying
m = -1.5
Subproblem 2
Set the factor '(3 + 2m)' equal to zero and attempt to solve:

Simplifying
3 + 2m = 0

Solving
3 + 2m = 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 + 2m = 0 + -3

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

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

Divide each side by '2'.
m = -1.5

Simplifying
m = -1.5
Solution
m = {-1.5, -1.5}