(7x-y)(-3x^2+7xy-y^2)-(3x^2)(-x+y)=0

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Solution for (7x-y)(-3x^2+7xy-y^2)-(3x^2)(-x+y)=0 equation: 


Simplifying
(7x + -1y)(-3x2 + 7xy + -1y2) + -1(3x2)(-1x + y) = 0

Reorder the terms:
(7x + -1y)(7xy + -3x2 + -1y2) + -1(3x2)(-1x + y) = 0

Multiply (7x + -1y) * (7xy + -3x2 + -1y2)
(7x * (7xy + -3x2 + -1y2) + -1y * (7xy + -3x2 + -1y2)) + -1(3x2)(-1x + y) = 0
((7xy * 7x + -3x2 * 7x + -1y2 * 7x) + -1y * (7xy + -3x2 + -1y2)) + -1(3x2)(-1x + y) = 0

Reorder the terms:
((-7xy2 + 49x2y + -21x3) + -1y * (7xy + -3x2 + -1y2)) + -1(3x2)(-1x + y) = 0
((-7xy2 + 49x2y + -21x3) + -1y * (7xy + -3x2 + -1y2)) + -1(3x2)(-1x + y) = 0
(-7xy2 + 49x2y + -21x3 + (7xy * -1y + -3x2 * -1y + -1y2 * -1y)) + -1(3x2)(-1x + y) = 0
(-7xy2 + 49x2y + -21x3 + (-7xy2 + 3x2y + 1y3)) + -1(3x2)(-1x + y) = 0

Reorder the terms:
(-7xy2 + -7xy2 + 49x2y + 3x2y + -21x3 + 1y3) + -1(3x2)(-1x + y) = 0

Combine like terms: -7xy2 + -7xy2 = -14xy2
(-14xy2 + 49x2y + 3x2y + -21x3 + 1y3) + -1(3x2)(-1x + y) = 0

Combine like terms: 49x2y + 3x2y = 52x2y
(-14xy2 + 52x2y + -21x3 + 1y3) + -1(3x2)(-1x + y) = 0

Remove parenthesis around (3x2)
-14xy2 + 52x2y + -21x3 + 1y3 + -1 * 3x2(-1x + y) = 0

Multiply -1 * 3
-14xy2 + 52x2y + -21x3 + 1y3 + -3x2(-1x + y) = 0
-14xy2 + 52x2y + -21x3 + 1y3 + (-1x * -3x2 + y * -3x2) = 0

Reorder the terms:
-14xy2 + 52x2y + -21x3 + 1y3 + (-3x2y + 3x3) = 0
-14xy2 + 52x2y + -21x3 + 1y3 + (-3x2y + 3x3) = 0

Reorder the terms:
-14xy2 + 52x2y + -3x2y + -21x3 + 3x3 + 1y3 = 0

Combine like terms: 52x2y + -3x2y = 49x2y
-14xy2 + 49x2y + -21x3 + 3x3 + 1y3 = 0

Combine like terms: -21x3 + 3x3 = -18x3
-14xy2 + 49x2y + -18x3 + 1y3 = 0

Solving
-14xy2 + 49x2y + -18x3 + 1y3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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