7x^2-24xy+9y^2=

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Solution for 7x^2-24xy+9y^2= equation: 


Simplifying
7x2 + -24xy + 9y2 = 0

Reorder the terms:
-24xy + 7x2 + 9y2 = 0

Solving
-24xy + 7x2 + 9y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -3y)(7x + -3y) = 0


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

Simplifying
x + -3y = 0

Solving
x + -3y = 0

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

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

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

Simplifying
x = 3y

Subproblem 2
Set the factor '(7x + -3y)' equal to zero and attempt to solve:

Simplifying
7x + -3y = 0

Solving
7x + -3y = 0

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

Add '3y' to each side of the equation.
7x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
7x + 0 = 0 + 3y
7x = 0 + 3y
Remove the zero:
7x = 3y

Divide each side by '7'.
x = 0.4285714286y

Simplifying
x = 0.4285714286y
Solution
x = {3y, 0.4285714286y}

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