2m^2+7m-1=-6

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

Simplifying
2m2 + 7m + -1 = -6

Reorder the terms:
-1 + 7m + 2m2 = -6

Solving
-1 + 7m + 2m2 = -6

Solving for variable 'm'.

Reorder the terms:
-1 + 6 + 7m + 2m2 = -6 + 6

Combine like terms: -1 + 6 = 5
5 + 7m + 2m2 = -6 + 6

Combine like terms: -6 + 6 = 0
5 + 7m + 2m2 = 0

Factor a trinomial.
(5 + 2m)(1 + m) = 0

Subproblem 1
Set the factor '(5 + 2m)' equal to zero and attempt to solve:

Simplifying
5 + 2m = 0

Solving
5 + 2m = 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 + 2m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2m = 0 + -5
2m = 0 + -5

Combine like terms: 0 + -5 = -5
2m = -5

Divide each side by '2'.
m = -2.5

Simplifying
m = -2.5
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 = {-2.5, -1}