(4a-2y)(a-4y)(a-y)=0

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Solution for (4a-2y)(a-4y)(a-y)=0 equation: 


Simplifying
(4a + -2y)(a + -4y)(a + -1y) = 0

Multiply (4a + -2y) * (a + -4y)
(4a * (a + -4y) + -2y * (a + -4y))(a + -1y) = 0
((a * 4a + -4y * 4a) + -2y * (a + -4y))(a + -1y) = 0

Reorder the terms:
((-16ay + 4a2) + -2y * (a + -4y))(a + -1y) = 0
((-16ay + 4a2) + -2y * (a + -4y))(a + -1y) = 0
(-16ay + 4a2 + (a * -2y + -4y * -2y))(a + -1y) = 0
(-16ay + 4a2 + (-2ay + 8y2))(a + -1y) = 0

Reorder the terms:
(-16ay + -2ay + 4a2 + 8y2)(a + -1y) = 0

Combine like terms: -16ay + -2ay = -18ay
(-18ay + 4a2 + 8y2)(a + -1y) = 0

Multiply (-18ay + 4a2 + 8y2) * (a + -1y)
(-18ay * (a + -1y) + 4a2 * (a + -1y) + 8y2 * (a + -1y)) = 0
((a * -18ay + -1y * -18ay) + 4a2 * (a + -1y) + 8y2 * (a + -1y)) = 0

Reorder the terms:
((18ay2 + -18a2y) + 4a2 * (a + -1y) + 8y2 * (a + -1y)) = 0
((18ay2 + -18a2y) + 4a2 * (a + -1y) + 8y2 * (a + -1y)) = 0
(18ay2 + -18a2y + (a * 4a2 + -1y * 4a2) + 8y2 * (a + -1y)) = 0

Reorder the terms:
(18ay2 + -18a2y + (-4a2y + 4a3) + 8y2 * (a + -1y)) = 0
(18ay2 + -18a2y + (-4a2y + 4a3) + 8y2 * (a + -1y)) = 0
(18ay2 + -18a2y + -4a2y + 4a3 + (a * 8y2 + -1y * 8y2)) = 0
(18ay2 + -18a2y + -4a2y + 4a3 + (8ay2 + -8y3)) = 0

Reorder the terms:
(18ay2 + 8ay2 + -18a2y + -4a2y + 4a3 + -8y3) = 0

Combine like terms: 18ay2 + 8ay2 = 26ay2
(26ay2 + -18a2y + -4a2y + 4a3 + -8y3) = 0

Combine like terms: -18a2y + -4a2y = -22a2y
(26ay2 + -22a2y + 4a3 + -8y3) = 0

Solving
26ay2 + -22a2y + 4a3 + -8y3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(13ay2 + -11a2y + 2a3 + -4y3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(13ay2 + -11a2y + 2a3 + -4y3)' equal to zero and attempt to solve:

Simplifying
13ay2 + -11a2y + 2a3 + -4y3 = 0

Solving
13ay2 + -11a2y + 2a3 + -4y3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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