v^2-14v+24=0

Solution for v^2-14v+24=0 equation:

Simplifying
v2 + -14v + 24 = 0

Reorder the terms:
24 + -14v + v2 = 0

Solving
24 + -14v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(2 + -1v)(12 + -1v) = 0

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

Simplifying
2 + -1v = 0

Solving
2 + -1v = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1v = 0 + -2

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

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

Divide each side by '-1'.
v = 2

Simplifying
v = 2
Subproblem 2
Set the factor '(12 + -1v)' equal to zero and attempt to solve:

Simplifying
12 + -1v = 0

Solving
12 + -1v = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1v = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1v = 0 + -12
-1v = 0 + -12

Combine like terms: 0 + -12 = -12
-1v = -12

Divide each side by '-1'.
v = 12

Simplifying
v = 12
Solution
v = {2, 12}