x^3+xy^2+ay^2-3ax^2=0

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


Simplifying
x3 + xy2 + ay2 + -3ax2 = 0

Reorder the terms:
-3ax2 + ay2 + xy2 + x3 = 0

Solving
-3ax2 + ay2 + xy2 + x3 = 0

Solving for variable 'a'.

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

Add '-1xy2' to each side of the equation.
-3ax2 + ay2 + xy2 + -1xy2 + x3 = 0 + -1xy2

Combine like terms: xy2 + -1xy2 = 0
-3ax2 + ay2 + 0 + x3 = 0 + -1xy2
-3ax2 + ay2 + x3 = 0 + -1xy2
Remove the zero:
-3ax2 + ay2 + x3 = -1xy2

Add '-1x3' to each side of the equation.
-3ax2 + ay2 + x3 + -1x3 = -1xy2 + -1x3

Combine like terms: x3 + -1x3 = 0
-3ax2 + ay2 + 0 = -1xy2 + -1x3
-3ax2 + ay2 = -1xy2 + -1x3

Reorder the terms:
-3ax2 + ay2 + xy2 + x3 = -1xy2 + xy2 + -1x3 + x3

Combine like terms: -1xy2 + xy2 = 0
-3ax2 + ay2 + xy2 + x3 = 0 + -1x3 + x3
-3ax2 + ay2 + xy2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-3ax2 + ay2 + xy2 + x3 = 0

The solution to this equation could not be determined.

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