5y(y-3)(4y-3)(y-4)=

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


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

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

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

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

Multiply (-3 + y) * (-3 + 4y)
5y(-3(-3 + 4y) + y(-3 + 4y))(-4 + y) = 0
5y((-3 * -3 + 4y * -3) + y(-3 + 4y))(-4 + y) = 0
5y((9 + -12y) + y(-3 + 4y))(-4 + y) = 0
5y(9 + -12y + (-3 * y + 4y * y))(-4 + y) = 0
5y(9 + -12y + (-3y + 4y2))(-4 + y) = 0

Combine like terms: -12y + -3y = -15y
5y(9 + -15y + 4y2)(-4 + y) = 0

Multiply (9 + -15y + 4y2) * (-4 + y)
5y(9(-4 + y) + -15y * (-4 + y) + 4y2 * (-4 + y)) = 0
5y((-4 * 9 + y * 9) + -15y * (-4 + y) + 4y2 * (-4 + y)) = 0
5y((-36 + 9y) + -15y * (-4 + y) + 4y2 * (-4 + y)) = 0
5y(-36 + 9y + (-4 * -15y + y * -15y) + 4y2 * (-4 + y)) = 0
5y(-36 + 9y + (60y + -15y2) + 4y2 * (-4 + y)) = 0
5y(-36 + 9y + 60y + -15y2 + (-4 * 4y2 + y * 4y2)) = 0
5y(-36 + 9y + 60y + -15y2 + (-16y2 + 4y3)) = 0

Combine like terms: 9y + 60y = 69y
5y(-36 + 69y + -15y2 + -16y2 + 4y3) = 0

Combine like terms: -15y2 + -16y2 = -31y2
5y(-36 + 69y + -31y2 + 4y3) = 0
(-36 * 5y + 69y * 5y + -31y2 * 5y + 4y3 * 5y) = 0
(-180y + 345y2 + -155y3 + 20y4) = 0

Solving
-180y + 345y2 + -155y3 + 20y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5y'.
5y(-36 + 69y + -31y2 + 4y3) = 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 '(-36 + 69y + -31y2 + 4y3)' equal to zero and attempt to solve:

Simplifying
-36 + 69y + -31y2 + 4y3 = 0

Solving
-36 + 69y + -31y2 + 4y3 = 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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