(6y+1)(4y-2)(y-4)=0

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Solution for (6y+1)(4y-2)(y-4)=0 equation: 


Simplifying
(6y + 1)(4y + -2)(y + -4) = 0

Reorder the terms:
(1 + 6y)(4y + -2)(y + -4) = 0

Reorder the terms:
(1 + 6y)(-2 + 4y)(y + -4) = 0

Reorder the terms:
(1 + 6y)(-2 + 4y)(-4 + y) = 0

Multiply (1 + 6y) * (-2 + 4y)
(1(-2 + 4y) + 6y * (-2 + 4y))(-4 + y) = 0
((-2 * 1 + 4y * 1) + 6y * (-2 + 4y))(-4 + y) = 0
((-2 + 4y) + 6y * (-2 + 4y))(-4 + y) = 0
(-2 + 4y + (-2 * 6y + 4y * 6y))(-4 + y) = 0
(-2 + 4y + (-12y + 24y2))(-4 + y) = 0

Combine like terms: 4y + -12y = -8y
(-2 + -8y + 24y2)(-4 + y) = 0

Multiply (-2 + -8y + 24y2) * (-4 + y)
(-2(-4 + y) + -8y * (-4 + y) + 24y2 * (-4 + y)) = 0
((-4 * -2 + y * -2) + -8y * (-4 + y) + 24y2 * (-4 + y)) = 0
((8 + -2y) + -8y * (-4 + y) + 24y2 * (-4 + y)) = 0
(8 + -2y + (-4 * -8y + y * -8y) + 24y2 * (-4 + y)) = 0
(8 + -2y + (32y + -8y2) + 24y2 * (-4 + y)) = 0
(8 + -2y + 32y + -8y2 + (-4 * 24y2 + y * 24y2)) = 0
(8 + -2y + 32y + -8y2 + (-96y2 + 24y3)) = 0

Combine like terms: -2y + 32y = 30y
(8 + 30y + -8y2 + -96y2 + 24y3) = 0

Combine like terms: -8y2 + -96y2 = -104y2
(8 + 30y + -104y2 + 24y3) = 0

Solving
8 + 30y + -104y2 + 24y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 15y + -52y2 + 12y3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + 15y + -52y2 + 12y3)' equal to zero and attempt to solve:

Simplifying
4 + 15y + -52y2 + 12y3 = 0

Solving
4 + 15y + -52y2 + 12y3 = 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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