v(v+6)=16

Solution for v(v+6)=16 equation:

Simplifying
v(v + 6) = 16

Reorder the terms:
v(6 + v) = 16
(6 * v + v * v) = 16
(6v + v2) = 16

Solving
6v + v2 = 16

Solving for variable 'v'.

Reorder the terms:
-16 + 6v + v2 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + 6v + v2 = 0

Factor a trinomial.
(-8 + -1v)(2 + -1v) = 0

Subproblem 1
Set the factor '(-8 + -1v)' equal to zero and attempt to solve:

Simplifying
-8 + -1v = 0

Solving
-8 + -1v = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1v = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1v = 0 + 8
-1v = 0 + 8

Combine like terms: 0 + 8 = 8
-1v = 8

Divide each side by '-1'.
v = -8

Simplifying
v = -8
Subproblem 2
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
Solution
v = {-8, 2}