12m^2+5m-3=0

Solution for 12m^2+5m-3=0 equation:

Simplifying
12m2 + 5m + -3 = 0

Reorder the terms:
-3 + 5m + 12m2 = 0

Solving
-3 + 5m + 12m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-3 + -4m)(1 + -3m) = 0

Subproblem 1
Set the factor '(-3 + -4m)' equal to zero and attempt to solve:

Simplifying
-3 + -4m = 0

Solving
-3 + -4m = 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 + -4m = 0 + 3

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

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

Divide each side by '-4'.
m = -0.75

Simplifying
m = -0.75
Subproblem 2
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
Solution
m = {-0.75, 0.3333333333}