4x^2+44xy+72y^2=0

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Solution for 4x^2+44xy+72y^2=0 equation: 


Simplifying
4x2 + 44xy + 72y2 = 0

Reorder the terms:
44xy + 4x2 + 72y2 = 0

Solving
44xy + 4x2 + 72y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(11xy + x2 + 18y2) = 0

Factor a trinomial.
4((x + 2y)(x + 9y)) = 0

Ignore the factor 4.

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

Simplifying
x + 2y = 0

Solving
x + 2y = 0

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

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

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

Simplifying
x = -2y

Subproblem 2
Set the factor '(x + 9y)' equal to zero and attempt to solve:

Simplifying
x + 9y = 0

Solving
x + 9y = 0

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

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

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

Simplifying
x = -9y
Solution
x = {-2y, -9y}

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