(a-3y)(a-4y)(a+y)(a-y)=0

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Solution for (a-3y)(a-4y)(a+y)(a-y)=0 equation: 


Simplifying
(a + -3y)(a + -4y)(a + y)(a + -1y) = 0

Multiply (a + -3y) * (a + -4y)
(a(a + -4y) + -3y * (a + -4y))(a + y)(a + -1y) = 0
((a * a + -4y * a) + -3y * (a + -4y))(a + y)(a + -1y) = 0

Reorder the terms:
((-4ay + a2) + -3y * (a + -4y))(a + y)(a + -1y) = 0
((-4ay + a2) + -3y * (a + -4y))(a + y)(a + -1y) = 0
(-4ay + a2 + (a * -3y + -4y * -3y))(a + y)(a + -1y) = 0
(-4ay + a2 + (-3ay + 12y2))(a + y)(a + -1y) = 0

Reorder the terms:
(-4ay + -3ay + a2 + 12y2)(a + y)(a + -1y) = 0

Combine like terms: -4ay + -3ay = -7ay
(-7ay + a2 + 12y2)(a + y)(a + -1y) = 0

Multiply (-7ay + a2 + 12y2) * (a + y)
(-7ay * (a + y) + a2(a + y) + 12y2 * (a + y))(a + -1y) = 0
((a * -7ay + y * -7ay) + a2(a + y) + 12y2 * (a + y))(a + -1y) = 0

Reorder the terms:
((-7ay2 + -7a2y) + a2(a + y) + 12y2 * (a + y))(a + -1y) = 0
((-7ay2 + -7a2y) + a2(a + y) + 12y2 * (a + y))(a + -1y) = 0
(-7ay2 + -7a2y + (a * a2 + y * a2) + 12y2 * (a + y))(a + -1y) = 0

Reorder the terms:
(-7ay2 + -7a2y + (a2y + a3) + 12y2 * (a + y))(a + -1y) = 0
(-7ay2 + -7a2y + (a2y + a3) + 12y2 * (a + y))(a + -1y) = 0
(-7ay2 + -7a2y + a2y + a3 + (a * 12y2 + y * 12y2))(a + -1y) = 0
(-7ay2 + -7a2y + a2y + a3 + (12ay2 + 12y3))(a + -1y) = 0

Reorder the terms:
(-7ay2 + 12ay2 + -7a2y + a2y + a3 + 12y3)(a + -1y) = 0

Combine like terms: -7ay2 + 12ay2 = 5ay2
(5ay2 + -7a2y + a2y + a3 + 12y3)(a + -1y) = 0

Combine like terms: -7a2y + a2y = -6a2y
(5ay2 + -6a2y + a3 + 12y3)(a + -1y) = 0

Multiply (5ay2 + -6a2y + a3 + 12y3) * (a + -1y)
(5ay2 * (a + -1y) + -6a2y * (a + -1y) + a3(a + -1y) + 12y3 * (a + -1y)) = 0
((a * 5ay2 + -1y * 5ay2) + -6a2y * (a + -1y) + a3(a + -1y) + 12y3 * (a + -1y)) = 0

Reorder the terms:
((-5ay3 + 5a2y2) + -6a2y * (a + -1y) + a3(a + -1y) + 12y3 * (a + -1y)) = 0
((-5ay3 + 5a2y2) + -6a2y * (a + -1y) + a3(a + -1y) + 12y3 * (a + -1y)) = 0
(-5ay3 + 5a2y2 + (a * -6a2y + -1y * -6a2y) + a3(a + -1y) + 12y3 * (a + -1y)) = 0

Reorder the terms:
(-5ay3 + 5a2y2 + (6a2y2 + -6a3y) + a3(a + -1y) + 12y3 * (a + -1y)) = 0
(-5ay3 + 5a2y2 + (6a2y2 + -6a3y) + a3(a + -1y) + 12y3 * (a + -1y)) = 0
(-5ay3 + 5a2y2 + 6a2y2 + -6a3y + (a * a3 + -1y * a3) + 12y3 * (a + -1y)) = 0

Reorder the terms:
(-5ay3 + 5a2y2 + 6a2y2 + -6a3y + (-1a3y + a4) + 12y3 * (a + -1y)) = 0
(-5ay3 + 5a2y2 + 6a2y2 + -6a3y + (-1a3y + a4) + 12y3 * (a + -1y)) = 0
(-5ay3 + 5a2y2 + 6a2y2 + -6a3y + -1a3y + a4 + (a * 12y3 + -1y * 12y3)) = 0
(-5ay3 + 5a2y2 + 6a2y2 + -6a3y + -1a3y + a4 + (12ay3 + -12y4)) = 0

Reorder the terms:
(-5ay3 + 12ay3 + 5a2y2 + 6a2y2 + -6a3y + -1a3y + a4 + -12y4) = 0

Combine like terms: -5ay3 + 12ay3 = 7ay3
(7ay3 + 5a2y2 + 6a2y2 + -6a3y + -1a3y + a4 + -12y4) = 0

Combine like terms: 5a2y2 + 6a2y2 = 11a2y2
(7ay3 + 11a2y2 + -6a3y + -1a3y + a4 + -12y4) = 0

Combine like terms: -6a3y + -1a3y = -7a3y
(7ay3 + 11a2y2 + -7a3y + a4 + -12y4) = 0

Solving
7ay3 + 11a2y2 + -7a3y + a4 + -12y4 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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