2m^2+23m-12=0

Solution for 2m^2+23m-12=0 equation:

Simplifying
2m2 + 23m + -12 = 0

Reorder the terms:
-12 + 23m + 2m2 = 0

Solving
-12 + 23m + 2m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-12 + -1m)(1 + -2m) = 0

Subproblem 1
Set the factor '(-12 + -1m)' equal to zero and attempt to solve:

Simplifying
-12 + -1m = 0

Solving
-12 + -1m = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1m = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1m = 0 + 12
-1m = 0 + 12

Combine like terms: 0 + 12 = 12
-1m = 12

Divide each side by '-1'.
m = -12

Simplifying
m = -12
Subproblem 2
Set the factor '(1 + -2m)' equal to zero and attempt to solve:

Simplifying
1 + -2m = 0

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

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

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

Divide each side by '-2'.
m = 0.5

Simplifying
m = 0.5
Solution
m = {-12, 0.5}