-3m^2+4m+1=-3

Solution for -3m^2+4m+1=-3 equation:

Simplifying
-3m2 + 4m + 1 = -3

Reorder the terms:
1 + 4m + -3m2 = -3

Solving
1 + 4m + -3m2 = -3

Solving for variable 'm'.

Reorder the terms:
1 + 3 + 4m + -3m2 = -3 + 3

Combine like terms: 1 + 3 = 4
4 + 4m + -3m2 = -3 + 3

Combine like terms: -3 + 3 = 0
4 + 4m + -3m2 = 0

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

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

Simplifying
2 + -1m = 0

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

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

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

Divide each side by '-1'.
m = 2

Simplifying
m = 2
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 = {2, -0.6666666667}