16=v(v-6)

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

Simplifying
16 = v(v + -6)

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

Solving
16 = -6v + v2

Solving for variable 'v'.

Reorder the terms:
16 + 6v + -1v2 = -6v + 6v + v2 + -1v2

Combine like terms: -6v + 6v = 0
16 + 6v + -1v2 = 0 + v2 + -1v2
16 + 6v + -1v2 = v2 + -1v2

Combine like terms: v2 + -1v2 = 0
16 + 6v + -1v2 = 0

Factor a trinomial.
(8 + -1v)(2 + v) = 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 + v)' equal to zero and attempt to solve:

Simplifying
2 + v = 0

Solving
2 + v = 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 + v = 0 + -2

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

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

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