-2V+24=V^2

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

Simplifying
-2V + 24 = V2

Reorder the terms:
24 + -2V = V2

Solving
24 + -2V = V2

Solving for variable 'V'.

Combine like terms: V2 + -1V2 = 0
24 + -2V + -1V2 = 0

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

Subproblem 1
Set the factor '(4 + -1V)' equal to zero and attempt to solve:

Simplifying
4 + -1V = 0

Solving
4 + -1V = 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 + -1V = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1V = 0 + -4
-1V = 0 + -4

Combine like terms: 0 + -4 = -4
-1V = -4

Divide each side by '-1'.
V = 4

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

Simplifying
6 + V = 0

Solving
6 + V = 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 + V = 0 + -6

Combine like terms: 6 + -6 = 0
0 + V = 0 + -6
V = 0 + -6

Combine like terms: 0 + -6 = -6
V = -6

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