-v^2+2v=-24

Solution for -v^2+2v=-24 equation:

Simplifying
-1v2 + 2v = -24

Reorder the terms:
2v + -1v2 = -24

Solving
2v + -1v2 = -24

Solving for variable 'v'.

Reorder the terms:
24 + 2v + -1v2 = -24 + 24

Combine like terms: -24 + 24 = 0
24 + 2v + -1v2 = 0

Factor a trinomial.
(6 + -1v)(4 + v) = 0

Subproblem 1
Set the factor '(6 + -1v)' equal to zero and attempt to solve:

Simplifying
6 + -1v = 0

Solving
6 + -1v = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1v = 0 + -6
-1v = 0 + -6

Combine like terms: 0 + -6 = -6
-1v = -6

Divide each side by '-1'.
v = 6

Simplifying
v = 6
Subproblem 2
Set the factor '(4 + v)' equal to zero and attempt to solve:

Simplifying
4 + v = 0

Solving
4 + v = 0

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

Add '-4' to each side of the equation.
4 + -4 + v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + v = 0 + -4
v = 0 + -4

Combine like terms: 0 + -4 = -4
v = -4

Simplifying
v = -4
Solution
v = {6, -4}