8m^2+11m=-3

Solution for 8m^2+11m=-3 equation:

Simplifying
8m2 + 11m = -3

Reorder the terms:
11m + 8m2 = -3

Solving
11m + 8m2 = -3

Solving for variable 'm'.

Reorder the terms:
3 + 11m + 8m2 = -3 + 3

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

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

Subproblem 1
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
Subproblem 2
Set the factor '(3 + 8m)' equal to zero and attempt to solve:

Simplifying
3 + 8m = 0

Solving
3 + 8m = 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 + 8m = 0 + -3

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

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

Divide each side by '8'.
m = -0.375

Simplifying
m = -0.375
Solution
m = {-1, -0.375}