-21=m^2+2m-24

Solution for -21=m^2+2m-24 equation:

Simplifying
-21 = m2 + 2m + -24

Reorder the terms:
-21 = -24 + 2m + m2

Solving
-21 = -24 + 2m + m2

Solving for variable 'm'.

Combine like terms: -21 + 24 = 3
3 + -2m + -1m2 = -24 + 2m + m2 + 24 + -2m + -1m2

Reorder the terms:
3 + -2m + -1m2 = -24 + 24 + 2m + -2m + m2 + -1m2

Combine like terms: -24 + 24 = 0
3 + -2m + -1m2 = 0 + 2m + -2m + m2 + -1m2
3 + -2m + -1m2 = 2m + -2m + m2 + -1m2

Combine like terms: 2m + -2m = 0
3 + -2m + -1m2 = 0 + m2 + -1m2
3 + -2m + -1m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
3 + -2m + -1m2 = 0

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

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

Simplifying
1 + -1m = 0

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

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

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

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

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

Simplifying
3 + m = 0

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

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

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

Simplifying
m = -3
Solution
m = {1, -3}