16=c(c-6)

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

Simplifying
16 = c(c + -6)

Reorder the terms:
16 = c(-6 + c)
16 = (-6 * c + c * c)
16 = (-6c + c2)

Solving
16 = -6c + c2

Solving for variable 'c'.

Reorder the terms:
16 + 6c + -1c2 = -6c + 6c + c2 + -1c2

Combine like terms: -6c + 6c = 0
16 + 6c + -1c2 = 0 + c2 + -1c2
16 + 6c + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
16 + 6c + -1c2 = 0

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

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

Simplifying
8 + -1c = 0

Solving
8 + -1c = 0

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

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

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

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

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

Simplifying
c = 8
Subproblem 2
Set the factor '(2 + c)' equal to zero and attempt to solve:

Simplifying
2 + c = 0

Solving
2 + c = 0

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

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

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

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

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