4y^2-12y+3xy-1=0

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Solution for 4y^2-12y+3xy-1=0 equation:


Simplifying
4y2 + -12y + 3xy + -1 = 0

Reorder the terms:
-1 + 3xy + -12y + 4y2 = 0

Solving
-1 + 3xy + -12y + 4y2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 3xy + -12y + 1 + 4y2 = 0 + 1

Reorder the terms:
-1 + 1 + 3xy + -12y + 4y2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3xy + -12y + 4y2 = 0 + 1
3xy + -12y + 4y2 = 0 + 1

Combine like terms: 0 + 1 = 1
3xy + -12y + 4y2 = 1

Add '12y' to each side of the equation.
3xy + -12y + 12y + 4y2 = 1 + 12y

Combine like terms: -12y + 12y = 0
3xy + 0 + 4y2 = 1 + 12y
3xy + 4y2 = 1 + 12y

Add '-4y2' to each side of the equation.
3xy + 4y2 + -4y2 = 1 + 12y + -4y2

Combine like terms: 4y2 + -4y2 = 0
3xy + 0 = 1 + 12y + -4y2
3xy = 1 + 12y + -4y2

Divide each side by '3y'.
x = 0.3333333333y-1 + 4 + -1.333333333y

Simplifying
x = 0.3333333333y-1 + 4 + -1.333333333y

Reorder the terms:
x = 4 + 0.3333333333y-1 + -1.333333333y

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