8m^2+29m+13=-2

Solution for 8m^2+29m+13=-2 equation:

Simplifying
8m2 + 29m + 13 = -2

Reorder the terms:
13 + 29m + 8m2 = -2

Solving
13 + 29m + 8m2 = -2

Solving for variable 'm'.

Reorder the terms:
13 + 2 + 29m + 8m2 = -2 + 2

Combine like terms: 13 + 2 = 15
15 + 29m + 8m2 = -2 + 2

Combine like terms: -2 + 2 = 0
15 + 29m + 8m2 = 0

Factor a trinomial.
(3 + m)(5 + 8m) = 0

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 '(5 + 8m)' equal to zero and attempt to solve:

Simplifying
5 + 8m = 0

Solving
5 + 8m = 0

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

Add '-5' to each side of the equation.
5 + -5 + 8m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 8m = 0 + -5
8m = 0 + -5

Combine like terms: 0 + -5 = -5
8m = -5

Divide each side by '8'.
m = -0.625

Simplifying
m = -0.625
Solution
m = {-3, -0.625}