8-c=(c-8)(c-8)

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Solution for 8-c=(c-8)(c-8) equation: 


Simplifying
8 + -1c = (c + -8)(c + -8)

Reorder the terms:
8 + -1c = (-8 + c)(c + -8)

Reorder the terms:
8 + -1c = (-8 + c)(-8 + c)

Multiply (-8 + c) * (-8 + c)
8 + -1c = (-8(-8 + c) + c(-8 + c))
8 + -1c = ((-8 * -8 + c * -8) + c(-8 + c))
8 + -1c = ((64 + -8c) + c(-8 + c))
8 + -1c = (64 + -8c + (-8 * c + c * c))
8 + -1c = (64 + -8c + (-8c + c2))

Combine like terms: -8c + -8c = -16c
8 + -1c = (64 + -16c + c2)

Solving
8 + -1c = 64 + -16c + c2

Solving for variable 'c'.

Reorder the terms:
8 + -64 + -1c + 16c + -1c2 = 64 + -16c + c2 + -64 + 16c + -1c2

Combine like terms: 8 + -64 = -56
-56 + -1c + 16c + -1c2 = 64 + -16c + c2 + -64 + 16c + -1c2

Combine like terms: -1c + 16c = 15c
-56 + 15c + -1c2 = 64 + -16c + c2 + -64 + 16c + -1c2

Reorder the terms:
-56 + 15c + -1c2 = 64 + -64 + -16c + 16c + c2 + -1c2

Combine like terms: 64 + -64 = 0
-56 + 15c + -1c2 = 0 + -16c + 16c + c2 + -1c2
-56 + 15c + -1c2 = -16c + 16c + c2 + -1c2

Combine like terms: -16c + 16c = 0
-56 + 15c + -1c2 = 0 + c2 + -1c2
-56 + 15c + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
-56 + 15c + -1c2 = 0

Factor a trinomial.
(-8 + c)(7 + -1c) = 0


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

Simplifying
-8 + c = 0

Solving
-8 + c = 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 + c = 0 + 8

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

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

Simplifying
c = 8

Subproblem 2
Set the factor '(7 + -1c)' equal to zero and attempt to solve:

Simplifying
7 + -1c = 0

Solving
7 + -1c = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1c = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1c = 0 + -7
-1c = 0 + -7

Combine like terms: 0 + -7 = -7
-1c = -7

Divide each side by '-1'.
c = 7

Simplifying
c = 7
Solution
c = {8, 7}

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