v^2+16v=17

Solution for v^2+16v=17 equation:

Simplifying
v2 + 16v = 17

Reorder the terms:
16v + v2 = 17

Solving
16v + v2 = 17

Solving for variable 'v'.

Reorder the terms:
-17 + 16v + v2 = 17 + -17

Combine like terms: 17 + -17 = 0
-17 + 16v + v2 = 0

Factor a trinomial.
(-17 + -1v)(1 + -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 '(1 + -1v)' equal to zero and attempt to solve:

Simplifying
1 + -1v = 0

Solving
1 + -1v = 0

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

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

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

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

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

Simplifying
v = 1
Solution
v = {-17, 1}