(7x-y)(7x-y)(7x-y)=343x^3-147x^2y-y^3

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Solution for (7x-y)(7x-y)(7x-y)=343x^3-147x^2y-y^3 equation: 


Simplifying
(7x + -1y)(7x + -1y)(7x + -1y) = 343x3 + -147x2y + -1y3

Multiply (7x + -1y) * (7x + -1y)
(7x * (7x + -1y) + -1y * (7x + -1y))(7x + -1y) = 343x3 + -147x2y + -1y3
((7x * 7x + -1y * 7x) + -1y * (7x + -1y))(7x + -1y) = 343x3 + -147x2y + -1y3

Reorder the terms:
((-7xy + 49x2) + -1y * (7x + -1y))(7x + -1y) = 343x3 + -147x2y + -1y3
((-7xy + 49x2) + -1y * (7x + -1y))(7x + -1y) = 343x3 + -147x2y + -1y3
(-7xy + 49x2 + (7x * -1y + -1y * -1y))(7x + -1y) = 343x3 + -147x2y + -1y3
(-7xy + 49x2 + (-7xy + 1y2))(7x + -1y) = 343x3 + -147x2y + -1y3

Reorder the terms:
(-7xy + -7xy + 49x2 + 1y2)(7x + -1y) = 343x3 + -147x2y + -1y3

Combine like terms: -7xy + -7xy = -14xy
(-14xy + 49x2 + 1y2)(7x + -1y) = 343x3 + -147x2y + -1y3

Multiply (-14xy + 49x2 + 1y2) * (7x + -1y)
(-14xy * (7x + -1y) + 49x2 * (7x + -1y) + 1y2 * (7x + -1y)) = 343x3 + -147x2y + -1y3
((7x * -14xy + -1y * -14xy) + 49x2 * (7x + -1y) + 1y2 * (7x + -1y)) = 343x3 + -147x2y + -1y3

Reorder the terms:
((14xy2 + -98x2y) + 49x2 * (7x + -1y) + 1y2 * (7x + -1y)) = 343x3 + -147x2y + -1y3
((14xy2 + -98x2y) + 49x2 * (7x + -1y) + 1y2 * (7x + -1y)) = 343x3 + -147x2y + -1y3
(14xy2 + -98x2y + (7x * 49x2 + -1y * 49x2) + 1y2 * (7x + -1y)) = 343x3 + -147x2y + -1y3

Reorder the terms:
(14xy2 + -98x2y + (-49x2y + 343x3) + 1y2 * (7x + -1y)) = 343x3 + -147x2y + -1y3
(14xy2 + -98x2y + (-49x2y + 343x3) + 1y2 * (7x + -1y)) = 343x3 + -147x2y + -1y3
(14xy2 + -98x2y + -49x2y + 343x3 + (7x * 1y2 + -1y * 1y2)) = 343x3 + -147x2y + -1y3
(14xy2 + -98x2y + -49x2y + 343x3 + (7xy2 + -1y3)) = 343x3 + -147x2y + -1y3

Reorder the terms:
(14xy2 + 7xy2 + -98x2y + -49x2y + 343x3 + -1y3) = 343x3 + -147x2y + -1y3

Combine like terms: 14xy2 + 7xy2 = 21xy2
(21xy2 + -98x2y + -49x2y + 343x3 + -1y3) = 343x3 + -147x2y + -1y3

Combine like terms: -98x2y + -49x2y = -147x2y
(21xy2 + -147x2y + 343x3 + -1y3) = 343x3 + -147x2y + -1y3

Reorder the terms:
21xy2 + -147x2y + 343x3 + -1y3 = -147x2y + 343x3 + -1y3

Add '147x2y' to each side of the equation.
21xy2 + -147x2y + 343x3 + 147x2y + -1y3 = -147x2y + 343x3 + 147x2y + -1y3

Reorder the terms:
21xy2 + -147x2y + 147x2y + 343x3 + -1y3 = -147x2y + 343x3 + 147x2y + -1y3

Combine like terms: -147x2y + 147x2y = 0
21xy2 + 0 + 343x3 + -1y3 = -147x2y + 343x3 + 147x2y + -1y3
21xy2 + 343x3 + -1y3 = -147x2y + 343x3 + 147x2y + -1y3

Reorder the terms:
21xy2 + 343x3 + -1y3 = -147x2y + 147x2y + 343x3 + -1y3

Combine like terms: -147x2y + 147x2y = 0
21xy2 + 343x3 + -1y3 = 0 + 343x3 + -1y3
21xy2 + 343x3 + -1y3 = 343x3 + -1y3

Add '-343x3' to each side of the equation.
21xy2 + 343x3 + -343x3 + -1y3 = 343x3 + -343x3 + -1y3

Combine like terms: 343x3 + -343x3 = 0
21xy2 + 0 + -1y3 = 343x3 + -343x3 + -1y3
21xy2 + -1y3 = 343x3 + -343x3 + -1y3

Combine like terms: 343x3 + -343x3 = 0
21xy2 + -1y3 = 0 + -1y3
21xy2 + -1y3 = -1y3

Add 'y3' to each side of the equation.
21xy2 + -1y3 + y3 = -1y3 + y3

Combine like terms: -1y3 + y3 = 0
21xy2 + 0 = -1y3 + y3
21xy2 = -1y3 + y3

Combine like terms: -1y3 + y3 = 0
21xy2 = 0

Solving
21xy2 = 0

Solving for variable 'x'.

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

Divide each side by '21'.
xy2 = 0

Simplifying
xy2 = 0

The solution to this equation could not be determined.

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