14m^2+m-3=0

Solution for 14m^2+m-3=0 equation:

Simplifying
14m2 + m + -3 = 0

Reorder the terms:
-3 + m + 14m2 = 0

Solving
-3 + m + 14m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-1 + -2m)(3 + -7m) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(3 + -7m)' equal to zero and attempt to solve:

Simplifying
3 + -7m = 0

Solving
3 + -7m = 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 + -7m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7m = 0 + -3
-7m = 0 + -3

Combine like terms: 0 + -3 = -3
-7m = -3

Divide each side by '-7'.
m = 0.4285714286

Simplifying
m = 0.4285714286
Solution
m = {-0.5, 0.4285714286}