(m+4)(m+1)=

Solution for (m+4)(m+1)= equation:

Simplifying
(m + 4)(m + 1) = 0

Reorder the terms:
(4 + m)(m + 1) = 0

Reorder the terms:
(4 + m)(1 + m) = 0

Multiply (4 + m) * (1 + m)
(4(1 + m) + m(1 + m)) = 0
((1 * 4 + m * 4) + m(1 + m)) = 0
((4 + 4m) + m(1 + m)) = 0
(4 + 4m + (1 * m + m * m)) = 0
(4 + 4m + (1m + m2)) = 0

Combine like terms: 4m + 1m = 5m
(4 + 5m + m2) = 0

Solving
4 + 5m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(4 + m)(1 + 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 '(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 = {-4, -1}