c(c-6)-16=0

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Solution for c(c-6)-16=0 equation: 


Simplifying
c(c + -6) + -16 = 0

Reorder the terms:
c(-6 + c) + -16 = 0
(-6 * c + c * c) + -16 = 0
(-6c + c2) + -16 = 0

Reorder the terms:
-16 + -6c + c2 = 0

Solving
-16 + -6c + c2 = 0

Solving for variable 'c'.

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


Subproblem 1
Set the factor '(-2 + -1c)' equal to zero and attempt to solve:

Simplifying
-2 + -1c = 0

Solving
-2 + -1c = 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 + -1c = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1c = 0 + 2
-1c = 0 + 2

Combine like terms: 0 + 2 = 2
-1c = 2

Divide each side by '-1'.
c = -2

Simplifying
c = -2

Subproblem 2
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
Solution
c = {-2, 8}

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