3m^2-5m=-2

Solution for 3m^2-5m=-2 equation:

Simplifying
3m2 + -5m = -2

Reorder the terms:
-5m + 3m2 = -2

Solving
-5m + 3m2 = -2

Solving for variable 'm'.

Reorder the terms:
2 + -5m + 3m2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -5m + 3m2 = 0

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

Subproblem 1
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
Subproblem 2
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
Solution
m = {0.6666666667, 1}