M(M+6)=-8

Solution for M(M+6)=-8 equation:

Simplifying
M(M + 6) = -8

Reorder the terms:
M(6 + M) = -8
(6 * M + M * M) = -8
(6M + M2) = -8

Solving
6M + M2 = -8

Solving for variable 'M'.

Reorder the terms:
8 + 6M + M2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 6M + M2 = 0

Factor a trinomial.
(4 + M)(2 + M) = 0

Subproblem 1
Set the factor '(4 + M)' equal to zero and attempt to solve:

Simplifying
4 + M = 0

Solving
4 + M = 0

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

Add '-4' to each side of the equation.
4 + -4 + M = 0 + -4

Combine like terms: 4 + -4 = 0
0 + M = 0 + -4
M = 0 + -4

Combine like terms: 0 + -4 = -4
M = -4

Simplifying
M = -4
Subproblem 2
Set the factor '(2 + M)' equal to zero and attempt to solve:

Simplifying
2 + M = 0

Solving
2 + M = 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 + M = 0 + -2

Combine like terms: 2 + -2 = 0
0 + M = 0 + -2
M = 0 + -2

Combine like terms: 0 + -2 = -2
M = -2

Simplifying
M = -2
Solution
M = {-4, -2}