12m^2+37m-10=0

Solution for 12m^2+37m-10=0 equation:

Simplifying
12m2 + 37m + -10 = 0

Reorder the terms:
-10 + 37m + 12m2 = 0

Solving
-10 + 37m + 12m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-10 + -3m)(1 + -4m) = 0

Subproblem 1
Set the factor '(-10 + -3m)' equal to zero and attempt to solve:

Simplifying
-10 + -3m = 0

Solving
-10 + -3m = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3m = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3m = 0 + 10
-3m = 0 + 10

Combine like terms: 0 + 10 = 10
-3m = 10

Divide each side by '-3'.
m = -3.333333333

Simplifying
m = -3.333333333
Subproblem 2
Set the factor '(1 + -4m)' equal to zero and attempt to solve:

Simplifying
1 + -4m = 0

Solving
1 + -4m = 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 + -4m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4m = 0 + -1
-4m = 0 + -1

Combine like terms: 0 + -1 = -1
-4m = -1

Divide each side by '-4'.
m = 0.25

Simplifying
m = 0.25
Solution
m = {-3.333333333, 0.25}