63x^2-46xy+8y^2=0

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Solution for 63x^2-46xy+8y^2=0 equation:


Simplifying
63x2 + -46xy + 8y2 = 0

Reorder the terms:
-46xy + 63x2 + 8y2 = 0

Solving
-46xy + 63x2 + 8y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9x + -4y)(7x + -2y) = 0

Subproblem 1

Set the factor '(9x + -4y)' equal to zero and attempt to solve: Simplifying 9x + -4y = 0 Solving 9x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 9x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 9x + 0 = 0 + 4y 9x = 0 + 4y Remove the zero: 9x = 4y Divide each side by '9'. x = 0.4444444444y Simplifying x = 0.4444444444y

Subproblem 2

Set the factor '(7x + -2y)' equal to zero and attempt to solve: Simplifying 7x + -2y = 0 Solving 7x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 7x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 7x + 0 = 0 + 2y 7x = 0 + 2y Remove the zero: 7x = 2y Divide each side by '7'. x = 0.2857142857y Simplifying x = 0.2857142857y

Solution

x = {0.4444444444y, 0.2857142857y}

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