5x^2-37xy+14y^2=0

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Solution for 5x^2-37xy+14y^2=0 equation:


Simplifying
5x2 + -37xy + 14y2 = 0

Reorder the terms:
-37xy + 5x2 + 14y2 = 0

Solving
-37xy + 5x2 + 14y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -7y)(5x + -2y) = 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 '(5x + -2y)' equal to zero and attempt to solve: Simplifying 5x + -2y = 0 Solving 5x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 5x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 5x + 0 = 0 + 2y 5x = 0 + 2y Remove the zero: 5x = 2y Divide each side by '5'. x = 0.4y Simplifying x = 0.4y

Solution

x = {7y, 0.4y}

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