2m^2+m-21=0

Solution for 2m^2+m-21=0 equation:

Simplifying
2m2 + m + -21 = 0

Reorder the terms:
-21 + m + 2m2 = 0

Solving
-21 + m + 2m2 = 0

Solving for variable 'm'.

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

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

Simplifying
-7 + -2m = 0

Solving
-7 + -2m = 0

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

Add '7' to each side of the equation.
-7 + 7 + -2m = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2m = 0 + 7
-2m = 0 + 7

Combine like terms: 0 + 7 = 7
-2m = 7

Divide each side by '-2'.
m = -3.5

Simplifying
m = -3.5
Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

Solving
3 + -1m = 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 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {-3.5, 3}