(-6y^4+11y^2+3y)(10y+4)(4y-4)=

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Solution for (-6y^4+11y^2+3y)(10y+4)(4y-4)= equation: 


Simplifying
(-6y4 + 11y2 + 3y)(10y + 4)(4y + -4) = 0

Reorder the terms:
(3y + 11y2 + -6y4)(10y + 4)(4y + -4) = 0

Reorder the terms:
(3y + 11y2 + -6y4)(4 + 10y)(4y + -4) = 0

Reorder the terms:
(3y + 11y2 + -6y4)(4 + 10y)(-4 + 4y) = 0

Multiply (3y + 11y2 + -6y4) * (4 + 10y)
(3y * (4 + 10y) + 11y2 * (4 + 10y) + -6y4 * (4 + 10y))(-4 + 4y) = 0
((4 * 3y + 10y * 3y) + 11y2 * (4 + 10y) + -6y4 * (4 + 10y))(-4 + 4y) = 0
((12y + 30y2) + 11y2 * (4 + 10y) + -6y4 * (4 + 10y))(-4 + 4y) = 0
(12y + 30y2 + (4 * 11y2 + 10y * 11y2) + -6y4 * (4 + 10y))(-4 + 4y) = 0
(12y + 30y2 + (44y2 + 110y3) + -6y4 * (4 + 10y))(-4 + 4y) = 0
(12y + 30y2 + 44y2 + 110y3 + (4 * -6y4 + 10y * -6y4))(-4 + 4y) = 0
(12y + 30y2 + 44y2 + 110y3 + (-24y4 + -60y5))(-4 + 4y) = 0

Combine like terms: 30y2 + 44y2 = 74y2
(12y + 74y2 + 110y3 + -24y4 + -60y5)(-4 + 4y) = 0

Multiply (12y + 74y2 + 110y3 + -24y4 + -60y5) * (-4 + 4y)
(12y * (-4 + 4y) + 74y2 * (-4 + 4y) + 110y3 * (-4 + 4y) + -24y4 * (-4 + 4y) + -60y5 * (-4 + 4y)) = 0
((-4 * 12y + 4y * 12y) + 74y2 * (-4 + 4y) + 110y3 * (-4 + 4y) + -24y4 * (-4 + 4y) + -60y5 * (-4 + 4y)) = 0
((-48y + 48y2) + 74y2 * (-4 + 4y) + 110y3 * (-4 + 4y) + -24y4 * (-4 + 4y) + -60y5 * (-4 + 4y)) = 0
(-48y + 48y2 + (-4 * 74y2 + 4y * 74y2) + 110y3 * (-4 + 4y) + -24y4 * (-4 + 4y) + -60y5 * (-4 + 4y)) = 0
(-48y + 48y2 + (-296y2 + 296y3) + 110y3 * (-4 + 4y) + -24y4 * (-4 + 4y) + -60y5 * (-4 + 4y)) = 0
(-48y + 48y2 + -296y2 + 296y3 + (-4 * 110y3 + 4y * 110y3) + -24y4 * (-4 + 4y) + -60y5 * (-4 + 4y)) = 0
(-48y + 48y2 + -296y2 + 296y3 + (-440y3 + 440y4) + -24y4 * (-4 + 4y) + -60y5 * (-4 + 4y)) = 0
(-48y + 48y2 + -296y2 + 296y3 + -440y3 + 440y4 + (-4 * -24y4 + 4y * -24y4) + -60y5 * (-4 + 4y)) = 0
(-48y + 48y2 + -296y2 + 296y3 + -440y3 + 440y4 + (96y4 + -96y5) + -60y5 * (-4 + 4y)) = 0
(-48y + 48y2 + -296y2 + 296y3 + -440y3 + 440y4 + 96y4 + -96y5 + (-4 * -60y5 + 4y * -60y5)) = 0
(-48y + 48y2 + -296y2 + 296y3 + -440y3 + 440y4 + 96y4 + -96y5 + (240y5 + -240y6)) = 0

Combine like terms: 48y2 + -296y2 = -248y2
(-48y + -248y2 + 296y3 + -440y3 + 440y4 + 96y4 + -96y5 + 240y5 + -240y6) = 0

Combine like terms: 296y3 + -440y3 = -144y3
(-48y + -248y2 + -144y3 + 440y4 + 96y4 + -96y5 + 240y5 + -240y6) = 0

Combine like terms: 440y4 + 96y4 = 536y4
(-48y + -248y2 + -144y3 + 536y4 + -96y5 + 240y5 + -240y6) = 0

Combine like terms: -96y5 + 240y5 = 144y5
(-48y + -248y2 + -144y3 + 536y4 + 144y5 + -240y6) = 0

Solving
-48y + -248y2 + -144y3 + 536y4 + 144y5 + -240y6 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '8y'.
8y(-6 + -31y + -18y2 + 67y3 + 18y4 + -30y5) = 0

Ignore the factor 8.

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(-6 + -31y + -18y2 + 67y3 + 18y4 + -30y5)' equal to zero and attempt to solve:

Simplifying
-6 + -31y + -18y2 + 67y3 + 18y4 + -30y5 = 0

Solving
-6 + -31y + -18y2 + 67y3 + 18y4 + -30y5 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}

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