0=6m^2+7m-5

Solution for 0=6m^2+7m-5 equation:

Simplifying
0 = 6m2 + 7m + -5

Reorder the terms:
0 = -5 + 7m + 6m2

Solving
0 = -5 + 7m + 6m2

Solving for variable 'm'.

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

Reorder the terms:
5 + -7m + -6m2 = -5 + 5 + 7m + -7m + 6m2 + -6m2

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

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

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

Factor a trinomial.
(1 + -2m)(5 + 3m) = 0

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

Simplifying
1 + -2m = 0

Solving
1 + -2m = 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 + -2m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2m = 0 + -1
-2m = 0 + -1

Combine like terms: 0 + -1 = -1
-2m = -1

Divide each side by '-2'.
m = 0.5

Simplifying
m = 0.5
Subproblem 2
Set the factor '(5 + 3m)' equal to zero and attempt to solve:

Simplifying
5 + 3m = 0

Solving
5 + 3m = 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 + 3m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3m = 0 + -5
3m = 0 + -5

Combine like terms: 0 + -5 = -5
3m = -5

Divide each side by '3'.
m = -1.666666667

Simplifying
m = -1.666666667
Solution
m = {0.5, -1.666666667}