x^3-3xy^2+2a^3=0

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Solution for x^3-3xy^2+2a^3=0 equation:


Simplifying
x3 + -3xy2 + 2a3 = 0

Reorder the terms:
2a3 + -3xy2 + x3 = 0

Solving
2a3 + -3xy2 + x3 = 0

Solving for variable 'a'.

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

Add '3xy2' to each side of the equation.
2a3 + -3xy2 + 3xy2 + x3 = 0 + 3xy2

Combine like terms: -3xy2 + 3xy2 = 0
2a3 + 0 + x3 = 0 + 3xy2
2a3 + x3 = 0 + 3xy2
Remove the zero:
2a3 + x3 = 3xy2

Add '-1x3' to each side of the equation.
2a3 + x3 + -1x3 = 3xy2 + -1x3

Combine like terms: x3 + -1x3 = 0
2a3 + 0 = 3xy2 + -1x3
2a3 = 3xy2 + -1x3

Divide each side by '2'.
a3 = 1.5xy2 + -0.5x3

Simplifying
a3 = 1.5xy2 + -0.5x3

Reorder the terms:
a3 + -1.5xy2 + 0.5x3 = 1.5xy2 + -1.5xy2 + -0.5x3 + 0.5x3

Combine like terms: 1.5xy2 + -1.5xy2 = 0.0
a3 + -1.5xy2 + 0.5x3 = 0.0 + -0.5x3 + 0.5x3
a3 + -1.5xy2 + 0.5x3 = -0.5x3 + 0.5x3

Combine like terms: -0.5x3 + 0.5x3 = 0.0
a3 + -1.5xy2 + 0.5x3 = 0.0

The solution to this equation could not be determined.

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