-(m+1)(m+3)=

Solution for -(m+1)(m+3)= equation:

Simplifying
-1(m + 1)(m + 3) = 0

Reorder the terms:
-1(1 + m)(m + 3) = 0

Reorder the terms:
-1(1 + m)(3 + m) = 0

Multiply (1 + m) * (3 + m)
-1(1(3 + m) + m(3 + m)) = 0
-1((3 * 1 + m * 1) + m(3 + m)) = 0
-1((3 + 1m) + m(3 + m)) = 0
-1(3 + 1m + (3 * m + m * m)) = 0
-1(3 + 1m + (3m + m2)) = 0

Combine like terms: 1m + 3m = 4m
-1(3 + 4m + m2) = 0
(3 * -1 + 4m * -1 + m2 * -1) = 0
(-3 + -4m + -1m2) = 0

Solving
-3 + -4m + -1m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 4m + m2) = 0

Factor a trinomial.
-1((3 + m)(1 + m)) = 0

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

Simplifying
1 + m = 0

Solving
1 + m = 0

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

Add '-1' to each side of the equation.
1 + -1 + m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + m = 0 + -1
m = 0 + -1

Combine like terms: 0 + -1 = -1
m = -1

Simplifying
m = -1
Solution
m = {-3, -1}