(7x-y)(6x-y)(-x-y)+21x^3=0

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Solution for (7x-y)(6x-y)(-x-y)+21x^3=0 equation: 


Simplifying
(7x + -1y)(6x + -1y)(-1x + -1y) + 21x3 = 0

Multiply (7x + -1y) * (6x + -1y)
(7x * (6x + -1y) + -1y * (6x + -1y))(-1x + -1y) + 21x3 = 0
((6x * 7x + -1y * 7x) + -1y * (6x + -1y))(-1x + -1y) + 21x3 = 0

Reorder the terms:
((-7xy + 42x2) + -1y * (6x + -1y))(-1x + -1y) + 21x3 = 0
((-7xy + 42x2) + -1y * (6x + -1y))(-1x + -1y) + 21x3 = 0
(-7xy + 42x2 + (6x * -1y + -1y * -1y))(-1x + -1y) + 21x3 = 0
(-7xy + 42x2 + (-6xy + 1y2))(-1x + -1y) + 21x3 = 0

Reorder the terms:
(-7xy + -6xy + 42x2 + 1y2)(-1x + -1y) + 21x3 = 0

Combine like terms: -7xy + -6xy = -13xy
(-13xy + 42x2 + 1y2)(-1x + -1y) + 21x3 = 0

Multiply (-13xy + 42x2 + 1y2) * (-1x + -1y)
(-13xy * (-1x + -1y) + 42x2 * (-1x + -1y) + 1y2 * (-1x + -1y)) + 21x3 = 0
((-1x * -13xy + -1y * -13xy) + 42x2 * (-1x + -1y) + 1y2 * (-1x + -1y)) + 21x3 = 0

Reorder the terms:
((13xy2 + 13x2y) + 42x2 * (-1x + -1y) + 1y2 * (-1x + -1y)) + 21x3 = 0
((13xy2 + 13x2y) + 42x2 * (-1x + -1y) + 1y2 * (-1x + -1y)) + 21x3 = 0
(13xy2 + 13x2y + (-1x * 42x2 + -1y * 42x2) + 1y2 * (-1x + -1y)) + 21x3 = 0

Reorder the terms:
(13xy2 + 13x2y + (-42x2y + -42x3) + 1y2 * (-1x + -1y)) + 21x3 = 0
(13xy2 + 13x2y + (-42x2y + -42x3) + 1y2 * (-1x + -1y)) + 21x3 = 0
(13xy2 + 13x2y + -42x2y + -42x3 + (-1x * 1y2 + -1y * 1y2)) + 21x3 = 0
(13xy2 + 13x2y + -42x2y + -42x3 + (-1xy2 + -1y3)) + 21x3 = 0

Reorder the terms:
(13xy2 + -1xy2 + 13x2y + -42x2y + -42x3 + -1y3) + 21x3 = 0

Combine like terms: 13xy2 + -1xy2 = 12xy2
(12xy2 + 13x2y + -42x2y + -42x3 + -1y3) + 21x3 = 0

Combine like terms: 13x2y + -42x2y = -29x2y
(12xy2 + -29x2y + -42x3 + -1y3) + 21x3 = 0

Reorder the terms:
12xy2 + -29x2y + -42x3 + 21x3 + -1y3 = 0

Combine like terms: -42x3 + 21x3 = -21x3
12xy2 + -29x2y + -21x3 + -1y3 = 0

Solving
12xy2 + -29x2y + -21x3 + -1y3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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