6m^2+7m-5=2m+1

Solution for 6m^2+7m-5=2m+1 equation:

Simplifying
6m2 + 7m + -5 = 2m + 1

Reorder the terms:
-5 + 7m + 6m2 = 2m + 1

Reorder the terms:
-5 + 7m + 6m2 = 1 + 2m

Solving
-5 + 7m + 6m2 = 1 + 2m

Solving for variable 'm'.

Reorder the terms:
-5 + -1 + 7m + -2m + 6m2 = 1 + 2m + -1 + -2m

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

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

Reorder the terms:
-6 + 5m + 6m2 = 1 + -1 + 2m + -2m

Combine like terms: 1 + -1 = 0
-6 + 5m + 6m2 = 0 + 2m + -2m
-6 + 5m + 6m2 = 2m + -2m

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

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

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

Simplifying
-3 + -2m = 0

Solving
-3 + -2m = 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 + -2m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2m = 0 + 3
-2m = 0 + 3

Combine like terms: 0 + 3 = 3
-2m = 3

Divide each side by '-2'.
m = -1.5

Simplifying
m = -1.5
Subproblem 2
Set the factor '(2 + -3m)' equal to zero and attempt to solve:

Simplifying
2 + -3m = 0

Solving
2 + -3m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3m = 0 + -2
-3m = 0 + -2

Combine like terms: 0 + -2 = -2
-3m = -2

Divide each side by '-3'.
m = 0.6666666667

Simplifying
m = 0.6666666667
Solution
m = {-1.5, 0.6666666667}