4x^2-24xy+11y^2=0

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Solution for 4x^2-24xy+11y^2=0 equation: 


Simplifying
4x2 + -24xy + 11y2 = 0

Reorder the terms:
-24xy + 4x2 + 11y2 = 0

Solving
-24xy + 4x2 + 11y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -11y)(2x + -1y) = 0


Subproblem 1
Set the factor '(2x + -11y)' equal to zero and attempt to solve:

Simplifying
2x + -11y = 0

Solving
2x + -11y = 0

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

Add '11y' to each side of the equation.
2x + -11y + 11y = 0 + 11y

Combine like terms: -11y + 11y = 0
2x + 0 = 0 + 11y
2x = 0 + 11y
Remove the zero:
2x = 11y

Divide each side by '2'.
x = 5.5y

Simplifying
x = 5.5y

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

Simplifying
2x + -1y = 0

Solving
2x + -1y = 0

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

Add 'y' to each side of the equation.
2x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
2x + 0 = 0 + y
2x = 0 + y
Remove the zero:
2x = y

Divide each side by '2'.
x = 0.5y

Simplifying
x = 0.5y
Solution
x = {5.5y, 0.5y}

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