2x^2-23xy+63y^2=0

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Solution for 2x^2-23xy+63y^2=0 equation:


Simplifying
2x2 + -23xy + 63y2 = 0

Reorder the terms:
-23xy + 2x2 + 63y2 = 0

Solving
-23xy + 2x2 + 63y2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(x + -7y)' equal to zero and attempt to solve: Simplifying x + -7y = 0 Solving x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 x + 0 = 0 + 7y x = 0 + 7y Remove the zero: x = 7y Simplifying x = 7y

Subproblem 2

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

Solution

x = {7y, 4.5y}

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