Y^2(a+x)=x^2(3a-x)

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Solution for Y^2(a+x)=x^2(3a-x) equation: 


Simplifying
Y2(a + x) = x2(3a + -1x)
(a * Y2 + x * Y2) = x2(3a + -1x)
(aY2 + xY2) = x2(3a + -1x)
aY2 + xY2 = (3a * x2 + -1x * x2)
aY2 + xY2 = (3ax2 + -1x3)

Solving
aY2 + xY2 = 3ax2 + -1x3

Solving for variable 'a'.

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

Add '-3ax2' to each side of the equation.
aY2 + -3ax2 + xY2 = 3ax2 + -3ax2 + -1x3

Combine like terms: 3ax2 + -3ax2 = 0
aY2 + -3ax2 + xY2 = 0 + -1x3
aY2 + -3ax2 + xY2 = -1x3

Add '-1xY2' to each side of the equation.
aY2 + -3ax2 + xY2 + -1xY2 = -1xY2 + -1x3

Combine like terms: xY2 + -1xY2 = 0
aY2 + -3ax2 + 0 = -1xY2 + -1x3
aY2 + -3ax2 = -1xY2 + -1x3

Reorder the terms:
aY2 + -3ax2 + xY2 + x3 = -1xY2 + xY2 + -1x3 + x3

Combine like terms: -1xY2 + xY2 = 0
aY2 + -3ax2 + xY2 + x3 = 0 + -1x3 + x3
aY2 + -3ax2 + xY2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
aY2 + -3ax2 + xY2 + x3 = 0

The solution to this equation could not be determined.

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