c^2-3cx-54x^2=

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Solution for c^2-3cx-54x^2= equation: 


Simplifying
c2 + -3cx + -54x2 = 0

Reorder the terms:
-3cx + c2 + -54x2 = 0

Solving
-3cx + c2 + -54x2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + -9x)(c + 6x) = 0


Subproblem 1
Set the factor '(c + -9x)' equal to zero and attempt to solve:

Simplifying
c + -9x = 0

Solving
c + -9x = 0

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

Add '9x' to each side of the equation.
c + -9x + 9x = 0 + 9x

Combine like terms: -9x + 9x = 0
c + 0 = 0 + 9x
c = 0 + 9x
Remove the zero:
c = 9x

Simplifying
c = 9x

Subproblem 2
Set the factor '(c + 6x)' equal to zero and attempt to solve:

Simplifying
c + 6x = 0

Solving
c + 6x = 0

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

Add '-6x' to each side of the equation.
c + 6x + -6x = 0 + -6x

Combine like terms: 6x + -6x = 0
c + 0 = 0 + -6x
c = 0 + -6x
Remove the zero:
c = -6x

Simplifying
c = -6x
Solution
c = {9x, -6x}

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