v^2+v-272=

Solution for v^2+v-272= equation:

Simplifying
v2 + v + -272 = 0

Reorder the terms:
-272 + v + v2 = 0

Solving
-272 + v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-17 + -1v)(16 + -1v) = 0

Subproblem 1
Set the factor '(-17 + -1v)' equal to zero and attempt to solve:

Simplifying
-17 + -1v = 0

Solving
-17 + -1v = 0

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

Add '17' to each side of the equation.
-17 + 17 + -1v = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -1v = 0 + 17
-1v = 0 + 17

Combine like terms: 0 + 17 = 17
-1v = 17

Divide each side by '-1'.
v = -17

Simplifying
v = -17
Subproblem 2
Set the factor '(16 + -1v)' equal to zero and attempt to solve:

Simplifying
16 + -1v = 0

Solving
16 + -1v = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1v = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1v = 0 + -16
-1v = 0 + -16

Combine like terms: 0 + -16 = -16
-1v = -16

Divide each side by '-1'.
v = 16

Simplifying
v = 16
Solution
v = {-17, 16}