(M+7)(M+3)=0

Solution for (M+7)(M+3)=0 equation:

Simplifying
(M + 7)(M + 3) = 0

Reorder the terms:
(7 + M)(M + 3) = 0

Reorder the terms:
(7 + M)(3 + M) = 0

Multiply (7 + M) * (3 + M)
(7(3 + M) + M(3 + M)) = 0
((3 * 7 + M * 7) + M(3 + M)) = 0
((21 + 7M) + M(3 + M)) = 0
(21 + 7M + (3 * M + M * M)) = 0
(21 + 7M + (3M + M2)) = 0

Combine like terms: 7M + 3M = 10M
(21 + 10M + M2) = 0

Solving
21 + 10M + M2 = 0

Solving for variable 'M'.

Factor a trinomial.
(7 + M)(3 + M) = 0

Subproblem 1
Set the factor '(7 + M)' equal to zero and attempt to solve:

Simplifying
7 + M = 0

Solving
7 + M = 0

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

Add '-7' to each side of the equation.
7 + -7 + M = 0 + -7

Combine like terms: 7 + -7 = 0
0 + M = 0 + -7
M = 0 + -7

Combine like terms: 0 + -7 = -7
M = -7

Simplifying
M = -7
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 = {-7, -3}