4x^2-32xy+63y^2=0

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Solution for 4x^2-32xy+63y^2=0 equation: 


Simplifying
4x2 + -32xy + 63y2 = 0

Reorder the terms:
-32xy + 4x2 + 63y2 = 0

Solving
-32xy + 4x2 + 63y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -9y)(2x + -7y) = 0


Subproblem 1
Set the factor '(2x + -9y)' equal to zero and attempt to solve:

Simplifying
2x + -9y = 0

Solving
2x + -9y = 0

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

Add '9y' to each side of the equation.
2x + -9y + 9y = 0 + 9y

Combine like terms: -9y + 9y = 0
2x + 0 = 0 + 9y
2x = 0 + 9y
Remove the zero:
2x = 9y

Divide each side by '2'.
x = 4.5y

Simplifying
x = 4.5y

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

Simplifying
2x + -7y = 0

Solving
2x + -7y = 0

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

Add '7y' to each side of the equation.
2x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
2x + 0 = 0 + 7y
2x = 0 + 7y
Remove the zero:
2x = 7y

Divide each side by '2'.
x = 3.5y

Simplifying
x = 3.5y
Solution
x = {4.5y, 3.5y}

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