3x^2-52xy+17y^2=0

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Solution for 3x^2-52xy+17y^2=0 equation:


Simplifying
3x2 + -52xy + 17y2 = 0

Reorder the terms:
-52xy + 3x2 + 17y2 = 0

Solving
-52xy + 3x2 + 17y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -17y)(3x + -1y) = 0

Subproblem 1

Set the factor '(x + -17y)' equal to zero and attempt to solve: Simplifying x + -17y = 0 Solving x + -17y = 0 Move all terms containing x to the left, all other terms to the right. Add '17y' to each side of the equation. x + -17y + 17y = 0 + 17y Combine like terms: -17y + 17y = 0 x + 0 = 0 + 17y x = 0 + 17y Remove the zero: x = 17y Simplifying x = 17y

Subproblem 2

Set the factor '(3x + -1y)' equal to zero and attempt to solve: Simplifying 3x + -1y = 0 Solving 3x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 3x + -1y + y = 0 + y Combine like terms: -1y + y = 0 3x + 0 = 0 + y 3x = 0 + y Remove the zero: 3x = y Divide each side by '3'. x = 0.3333333333y Simplifying x = 0.3333333333y

Solution

x = {17y, 0.3333333333y}

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