6m^2+7m=-1

Solution for 6m^2+7m=-1 equation:

Simplifying
6m2 + 7m = -1

Reorder the terms:
7m + 6m2 = -1

Solving
7m + 6m2 = -1

Solving for variable 'm'.

Reorder the terms:
1 + 7m + 6m2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + 7m + 6m2 = 0

Factor a trinomial.
(1 + m)(1 + 6m) = 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 '(1 + 6m)' equal to zero and attempt to solve:

Simplifying
1 + 6m = 0

Solving
1 + 6m = 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 + 6m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6m = 0 + -1
6m = 0 + -1

Combine like terms: 0 + -1 = -1
6m = -1

Divide each side by '6'.
m = -0.1666666667

Simplifying
m = -0.1666666667
Solution
m = {-1, -0.1666666667}