12+1=6m^2+7m

Solution for 12+1=6m^2+7m equation:

Simplifying
12 + 1 = 6m2 + 7m

Combine like terms: 12 + 1 = 13
13 = 6m2 + 7m

Reorder the terms:
13 = 7m + 6m2

Solving
13 = 7m + 6m2

Solving for variable 'm'.

Reorder the terms:
13 + -7m + -6m2 = 7m + -7m + 6m2 + -6m2

Combine like terms: 7m + -7m = 0
13 + -7m + -6m2 = 0 + 6m2 + -6m2
13 + -7m + -6m2 = 6m2 + -6m2

Combine like terms: 6m2 + -6m2 = 0
13 + -7m + -6m2 = 0

Factor a trinomial.
(1 + -1m)(13 + 6m) = 0

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

Simplifying
1 + -1m = 0

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

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

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

Divide each side by '-1'.
m = 1

Simplifying
m = 1
Subproblem 2
Set the factor '(13 + 6m)' equal to zero and attempt to solve:

Simplifying
13 + 6m = 0

Solving
13 + 6m = 0

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

Add '-13' to each side of the equation.
13 + -13 + 6m = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 6m = 0 + -13
6m = 0 + -13

Combine like terms: 0 + -13 = -13
6m = -13

Divide each side by '6'.
m = -2.166666667

Simplifying
m = -2.166666667
Solution
m = {1, -2.166666667}