3(x-y)=4(3x^2+5xy-y^2)

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Solution for 3(x-y)=4(3x^2+5xy-y^2) equation: 


Simplifying
3(x + -1y) = 4(3x2 + 5xy + -1y2)
(x * 3 + -1y * 3) = 4(3x2 + 5xy + -1y2)
(3x + -3y) = 4(3x2 + 5xy + -1y2)

Reorder the terms:
3x + -3y = 4(5xy + 3x2 + -1y2)
3x + -3y = (5xy * 4 + 3x2 * 4 + -1y2 * 4)
3x + -3y = (20xy + 12x2 + -4y2)

Solving
3x + -3y = 20xy + 12x2 + -4y2

Solving for variable 'x'.

Reorder the terms:
3x + -20xy + -12x2 + -3y + 4y2 = 20xy + 12x2 + -4y2 + -20xy + -12x2 + 4y2

Reorder the terms:
3x + -20xy + -12x2 + -3y + 4y2 = 20xy + -20xy + 12x2 + -12x2 + -4y2 + 4y2

Combine like terms: 20xy + -20xy = 0
3x + -20xy + -12x2 + -3y + 4y2 = 0 + 12x2 + -12x2 + -4y2 + 4y2
3x + -20xy + -12x2 + -3y + 4y2 = 12x2 + -12x2 + -4y2 + 4y2

Combine like terms: 12x2 + -12x2 = 0
3x + -20xy + -12x2 + -3y + 4y2 = 0 + -4y2 + 4y2
3x + -20xy + -12x2 + -3y + 4y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
3x + -20xy + -12x2 + -3y + 4y2 = 0

The solution to this equation could not be determined.

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