(4y-5)(2y-6)(3y-4)=0

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Solution for (4y-5)(2y-6)(3y-4)=0 equation: 


Simplifying
(4y + -5)(2y + -6)(3y + -4) = 0

Reorder the terms:
(-5 + 4y)(2y + -6)(3y + -4) = 0

Reorder the terms:
(-5 + 4y)(-6 + 2y)(3y + -4) = 0

Reorder the terms:
(-5 + 4y)(-6 + 2y)(-4 + 3y) = 0

Multiply (-5 + 4y) * (-6 + 2y)
(-5(-6 + 2y) + 4y * (-6 + 2y))(-4 + 3y) = 0
((-6 * -5 + 2y * -5) + 4y * (-6 + 2y))(-4 + 3y) = 0
((30 + -10y) + 4y * (-6 + 2y))(-4 + 3y) = 0
(30 + -10y + (-6 * 4y + 2y * 4y))(-4 + 3y) = 0
(30 + -10y + (-24y + 8y2))(-4 + 3y) = 0

Combine like terms: -10y + -24y = -34y
(30 + -34y + 8y2)(-4 + 3y) = 0

Multiply (30 + -34y + 8y2) * (-4 + 3y)
(30(-4 + 3y) + -34y * (-4 + 3y) + 8y2 * (-4 + 3y)) = 0
((-4 * 30 + 3y * 30) + -34y * (-4 + 3y) + 8y2 * (-4 + 3y)) = 0
((-120 + 90y) + -34y * (-4 + 3y) + 8y2 * (-4 + 3y)) = 0
(-120 + 90y + (-4 * -34y + 3y * -34y) + 8y2 * (-4 + 3y)) = 0
(-120 + 90y + (136y + -102y2) + 8y2 * (-4 + 3y)) = 0
(-120 + 90y + 136y + -102y2 + (-4 * 8y2 + 3y * 8y2)) = 0
(-120 + 90y + 136y + -102y2 + (-32y2 + 24y3)) = 0

Combine like terms: 90y + 136y = 226y
(-120 + 226y + -102y2 + -32y2 + 24y3) = 0

Combine like terms: -102y2 + -32y2 = -134y2
(-120 + 226y + -134y2 + 24y3) = 0

Solving
-120 + 226y + -134y2 + 24y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-60 + 113y + -67y2 + 12y3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-60 + 113y + -67y2 + 12y3)' equal to zero and attempt to solve:

Simplifying
-60 + 113y + -67y2 + 12y3 = 0

Solving
-60 + 113y + -67y2 + 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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