(4m+1)(m+11)=0

Solution for (4m+1)(m+11)=0 equation:

Simplifying
(4m + 1)(m + 11) = 0

Reorder the terms:
(1 + 4m)(m + 11) = 0

Reorder the terms:
(1 + 4m)(11 + m) = 0

Multiply (1 + 4m) * (11 + m)
(1(11 + m) + 4m * (11 + m)) = 0
((11 * 1 + m * 1) + 4m * (11 + m)) = 0
((11 + 1m) + 4m * (11 + m)) = 0
(11 + 1m + (11 * 4m + m * 4m)) = 0
(11 + 1m + (44m + 4m2)) = 0

Combine like terms: 1m + 44m = 45m
(11 + 45m + 4m2) = 0

Solving
11 + 45m + 4m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(11 + m)(1 + 4m) = 0

Subproblem 1
Set the factor '(11 + m)' equal to zero and attempt to solve:

Simplifying
11 + m = 0

Solving
11 + m = 0

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

Add '-11' to each side of the equation.
11 + -11 + m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + m = 0 + -11
m = 0 + -11

Combine like terms: 0 + -11 = -11
m = -11

Simplifying
m = -11
Subproblem 2
Set the factor '(1 + 4m)' equal to zero and attempt to solve:

Simplifying
1 + 4m = 0

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

Combine like terms: 1 + -1 = 0
0 + 4m = 0 + -1
4m = 0 + -1

Combine like terms: 0 + -1 = -1
4m = -1

Divide each side by '4'.
m = -0.25

Simplifying
m = -0.25
Solution
m = {-11, -0.25}