(a-y+5)(a+3y)(a-y)=0

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Solution for (a-y+5)(a+3y)(a-y)=0 equation: 


Simplifying
(a + -1y + 5)(a + 3y)(a + -1y) = 0

Reorder the terms:
(5 + a + -1y)(a + 3y)(a + -1y) = 0

Multiply (5 + a + -1y) * (a + 3y)
(5(a + 3y) + a(a + 3y) + -1y * (a + 3y))(a + -1y) = 0
((a * 5 + 3y * 5) + a(a + 3y) + -1y * (a + 3y))(a + -1y) = 0
((5a + 15y) + a(a + 3y) + -1y * (a + 3y))(a + -1y) = 0
(5a + 15y + (a * a + 3y * a) + -1y * (a + 3y))(a + -1y) = 0

Reorder the terms:
(5a + 15y + (3ay + a2) + -1y * (a + 3y))(a + -1y) = 0
(5a + 15y + (3ay + a2) + -1y * (a + 3y))(a + -1y) = 0
(5a + 15y + 3ay + a2 + (a * -1y + 3y * -1y))(a + -1y) = 0
(5a + 15y + 3ay + a2 + (-1ay + -3y2))(a + -1y) = 0

Reorder the terms:
(5a + 3ay + -1ay + a2 + 15y + -3y2)(a + -1y) = 0

Combine like terms: 3ay + -1ay = 2ay
(5a + 2ay + a2 + 15y + -3y2)(a + -1y) = 0

Multiply (5a + 2ay + a2 + 15y + -3y2) * (a + -1y)
(5a * (a + -1y) + 2ay * (a + -1y) + a2(a + -1y) + 15y * (a + -1y) + -3y2 * (a + -1y)) = 0
((a * 5a + -1y * 5a) + 2ay * (a + -1y) + a2(a + -1y) + 15y * (a + -1y) + -3y2 * (a + -1y)) = 0

Reorder the terms:
((-5ay + 5a2) + 2ay * (a + -1y) + a2(a + -1y) + 15y * (a + -1y) + -3y2 * (a + -1y)) = 0
((-5ay + 5a2) + 2ay * (a + -1y) + a2(a + -1y) + 15y * (a + -1y) + -3y2 * (a + -1y)) = 0
(-5ay + 5a2 + (a * 2ay + -1y * 2ay) + a2(a + -1y) + 15y * (a + -1y) + -3y2 * (a + -1y)) = 0

Reorder the terms:
(-5ay + 5a2 + (-2ay2 + 2a2y) + a2(a + -1y) + 15y * (a + -1y) + -3y2 * (a + -1y)) = 0
(-5ay + 5a2 + (-2ay2 + 2a2y) + a2(a + -1y) + 15y * (a + -1y) + -3y2 * (a + -1y)) = 0
(-5ay + 5a2 + -2ay2 + 2a2y + (a * a2 + -1y * a2) + 15y * (a + -1y) + -3y2 * (a + -1y)) = 0

Reorder the terms:
(-5ay + 5a2 + -2ay2 + 2a2y + (-1a2y + a3) + 15y * (a + -1y) + -3y2 * (a + -1y)) = 0
(-5ay + 5a2 + -2ay2 + 2a2y + (-1a2y + a3) + 15y * (a + -1y) + -3y2 * (a + -1y)) = 0
(-5ay + 5a2 + -2ay2 + 2a2y + -1a2y + a3 + (a * 15y + -1y * 15y) + -3y2 * (a + -1y)) = 0
(-5ay + 5a2 + -2ay2 + 2a2y + -1a2y + a3 + (15ay + -15y2) + -3y2 * (a + -1y)) = 0
(-5ay + 5a2 + -2ay2 + 2a2y + -1a2y + a3 + 15ay + -15y2 + (a * -3y2 + -1y * -3y2)) = 0
(-5ay + 5a2 + -2ay2 + 2a2y + -1a2y + a3 + 15ay + -15y2 + (-3ay2 + 3y3)) = 0

Reorder the terms:
(-5ay + 15ay + -2ay2 + -3ay2 + 5a2 + 2a2y + -1a2y + a3 + -15y2 + 3y3) = 0

Combine like terms: -5ay + 15ay = 10ay
(10ay + -2ay2 + -3ay2 + 5a2 + 2a2y + -1a2y + a3 + -15y2 + 3y3) = 0

Combine like terms: -2ay2 + -3ay2 = -5ay2
(10ay + -5ay2 + 5a2 + 2a2y + -1a2y + a3 + -15y2 + 3y3) = 0

Combine like terms: 2a2y + -1a2y = 1a2y
(10ay + -5ay2 + 5a2 + 1a2y + a3 + -15y2 + 3y3) = 0

Solving
10ay + -5ay2 + 5a2 + 1a2y + a3 + -15y2 + 3y3 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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