c(c-6)=4(c-4)

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Solution for c(c-6)=4(c-4) equation:


Simplifying
c(c + -6) = 4(c + -4)

Reorder the terms:
c(-6 + c) = 4(c + -4)
(-6 * c + c * c) = 4(c + -4)
(-6c + c2) = 4(c + -4)

Reorder the terms:
-6c + c2 = 4(-4 + c)
-6c + c2 = (-4 * 4 + c * 4)
-6c + c2 = (-16 + 4c)

Solving
-6c + c2 = -16 + 4c

Solving for variable 'c'.

Reorder the terms:
16 + -6c + -4c + c2 = -16 + 4c + 16 + -4c

Combine like terms: -6c + -4c = -10c
16 + -10c + c2 = -16 + 4c + 16 + -4c

Reorder the terms:
16 + -10c + c2 = -16 + 16 + 4c + -4c

Combine like terms: -16 + 16 = 0
16 + -10c + c2 = 0 + 4c + -4c
16 + -10c + c2 = 4c + -4c

Combine like terms: 4c + -4c = 0
16 + -10c + c2 = 0

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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