5y(3-y)(4y+1)(4y+1)=0

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Solution for 5y(3-y)(4y+1)(4y+1)=0 equation: 


Simplifying
5y(3 + -1y)(4y + 1)(4y + 1) = 0

Reorder the terms:
5y(3 + -1y)(1 + 4y)(4y + 1) = 0

Reorder the terms:
5y(3 + -1y)(1 + 4y)(1 + 4y) = 0

Multiply (3 + -1y) * (1 + 4y)
5y(3(1 + 4y) + -1y * (1 + 4y))(1 + 4y) = 0
5y((1 * 3 + 4y * 3) + -1y * (1 + 4y))(1 + 4y) = 0
5y((3 + 12y) + -1y * (1 + 4y))(1 + 4y) = 0
5y(3 + 12y + (1 * -1y + 4y * -1y))(1 + 4y) = 0
5y(3 + 12y + (-1y + -4y2))(1 + 4y) = 0

Combine like terms: 12y + -1y = 11y
5y(3 + 11y + -4y2)(1 + 4y) = 0

Multiply (3 + 11y + -4y2) * (1 + 4y)
5y(3(1 + 4y) + 11y * (1 + 4y) + -4y2 * (1 + 4y)) = 0
5y((1 * 3 + 4y * 3) + 11y * (1 + 4y) + -4y2 * (1 + 4y)) = 0
5y((3 + 12y) + 11y * (1 + 4y) + -4y2 * (1 + 4y)) = 0
5y(3 + 12y + (1 * 11y + 4y * 11y) + -4y2 * (1 + 4y)) = 0
5y(3 + 12y + (11y + 44y2) + -4y2 * (1 + 4y)) = 0
5y(3 + 12y + 11y + 44y2 + (1 * -4y2 + 4y * -4y2)) = 0
5y(3 + 12y + 11y + 44y2 + (-4y2 + -16y3)) = 0

Combine like terms: 12y + 11y = 23y
5y(3 + 23y + 44y2 + -4y2 + -16y3) = 0

Combine like terms: 44y2 + -4y2 = 40y2
5y(3 + 23y + 40y2 + -16y3) = 0
(3 * 5y + 23y * 5y + 40y2 * 5y + -16y3 * 5y) = 0
(15y + 115y2 + 200y3 + -80y4) = 0

Solving
15y + 115y2 + 200y3 + -80y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5y'.
5y(3 + 23y + 40y2 + -16y3) = 0

Ignore the factor 5.

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 '(3 + 23y + 40y2 + -16y3)' equal to zero and attempt to solve:

Simplifying
3 + 23y + 40y2 + -16y3 = 0

Solving
3 + 23y + 40y2 + -16y3 = 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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