6x^2-11cx+3c^2=0

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Solution for 6x^2-11cx+3c^2=0 equation: 


Simplifying
6x2 + -11cx + 3c2 = 0

Reorder the terms:
-11cx + 3c2 + 6x2 = 0

Solving
-11cx + 3c2 + 6x2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + -3x)(3c + -2x) = 0


Subproblem 1
Set the factor '(c + -3x)' equal to zero and attempt to solve:

Simplifying
c + -3x = 0

Solving
c + -3x = 0

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

Add '3x' to each side of the equation.
c + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
c + 0 = 0 + 3x
c = 0 + 3x
Remove the zero:
c = 3x

Simplifying
c = 3x

Subproblem 2
Set the factor '(3c + -2x)' equal to zero and attempt to solve:

Simplifying
3c + -2x = 0

Solving
3c + -2x = 0

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

Add '2x' to each side of the equation.
3c + -2x + 2x = 0 + 2x

Combine like terms: -2x + 2x = 0
3c + 0 = 0 + 2x
3c = 0 + 2x
Remove the zero:
3c = 2x

Divide each side by '3'.
c = 0.6666666667x

Simplifying
c = 0.6666666667x
Solution
c = {3x, 0.6666666667x}

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