y^2-8xy+12x^2=0

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Solution for y^2-8xy+12x^2=0 equation:


Simplifying
y2 + -8xy + 12x2 = 0

Reorder the terms:
-8xy + 12x2 + y2 = 0

Solving
-8xy + 12x2 + y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -1y)(6x + -1y) = 0

Subproblem 1

Set the factor '(2x + -1y)' equal to zero and attempt to solve: Simplifying 2x + -1y = 0 Solving 2x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 2x + -1y + y = 0 + y Combine like terms: -1y + y = 0 2x + 0 = 0 + y 2x = 0 + y Remove the zero: 2x = y Divide each side by '2'. x = 0.5y Simplifying x = 0.5y

Subproblem 2

Set the factor '(6x + -1y)' equal to zero and attempt to solve: Simplifying 6x + -1y = 0 Solving 6x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 6x + -1y + y = 0 + y Combine like terms: -1y + y = 0 6x + 0 = 0 + y 6x = 0 + y Remove the zero: 6x = y Divide each side by '6'. x = 0.1666666667y Simplifying x = 0.1666666667y

Solution

x = {0.5y, 0.1666666667y}

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