(m+1)(3m+8)=0

Solution for (m+1)(3m+8)=0 equation:

Simplifying
(m + 1)(3m + 8) = 0

Reorder the terms:
(1 + m)(3m + 8) = 0

Reorder the terms:
(1 + m)(8 + 3m) = 0

Multiply (1 + m) * (8 + 3m)
(1(8 + 3m) + m(8 + 3m)) = 0
((8 * 1 + 3m * 1) + m(8 + 3m)) = 0
((8 + 3m) + m(8 + 3m)) = 0
(8 + 3m + (8 * m + 3m * m)) = 0
(8 + 3m + (8m + 3m2)) = 0

Combine like terms: 3m + 8m = 11m
(8 + 11m + 3m2) = 0

Solving
8 + 11m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(8 + 3m)(1 + m) = 0

Subproblem 1
Set the factor '(8 + 3m)' equal to zero and attempt to solve:

Simplifying
8 + 3m = 0

Solving
8 + 3m = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3m = 0 + -8
3m = 0 + -8

Combine like terms: 0 + -8 = -8
3m = -8

Divide each side by '3'.
m = -2.666666667

Simplifying
m = -2.666666667
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 = {-2.666666667, -1}