c^2-2cx-80x^2=

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Solution for c^2-2cx-80x^2= equation: 


Simplifying
c2 + -2cx + -80x2 = 0

Reorder the terms:
-2cx + c2 + -80x2 = 0

Solving
-2cx + c2 + -80x2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + -10x)(c + 8x) = 0


Subproblem 1
Set the factor '(c + -10x)' equal to zero and attempt to solve:

Simplifying
c + -10x = 0

Solving
c + -10x = 0

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

Add '10x' to each side of the equation.
c + -10x + 10x = 0 + 10x

Combine like terms: -10x + 10x = 0
c + 0 = 0 + 10x
c = 0 + 10x
Remove the zero:
c = 10x

Simplifying
c = 10x

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

Simplifying
c + 8x = 0

Solving
c + 8x = 0

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

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

Combine like terms: 8x + -8x = 0
c + 0 = 0 + -8x
c = 0 + -8x
Remove the zero:
c = -8x

Simplifying
c = -8x
Solution
c = {10x, -8x}

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