6m^2-7m=3

Solution for 6m^2-7m=3 equation:

Simplifying
6m2 + -7m = 3

Reorder the terms:
-7m + 6m2 = 3

Solving
-7m + 6m2 = 3

Solving for variable 'm'.

Reorder the terms:
-3 + -7m + 6m2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -7m + 6m2 = 0

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

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

Simplifying
-1 + -3m = 0

Solving
-1 + -3m = 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 + -3m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3m = 0 + 1
-3m = 0 + 1

Combine like terms: 0 + 1 = 1
-3m = 1

Divide each side by '-3'.
m = -0.3333333333

Simplifying
m = -0.3333333333
Subproblem 2
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
Solution
m = {-0.3333333333, 1.5}