4(y+6)(4y-3)(y-6)=0

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


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

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

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

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

Multiply (6 + y) * (-3 + 4y)
4(6(-3 + 4y) + y(-3 + 4y))(-6 + y) = 0
4((-3 * 6 + 4y * 6) + y(-3 + 4y))(-6 + y) = 0
4((-18 + 24y) + y(-3 + 4y))(-6 + y) = 0
4(-18 + 24y + (-3 * y + 4y * y))(-6 + y) = 0
4(-18 + 24y + (-3y + 4y2))(-6 + y) = 0

Combine like terms: 24y + -3y = 21y
4(-18 + 21y + 4y2)(-6 + y) = 0

Multiply (-18 + 21y + 4y2) * (-6 + y)
4(-18(-6 + y) + 21y * (-6 + y) + 4y2 * (-6 + y)) = 0
4((-6 * -18 + y * -18) + 21y * (-6 + y) + 4y2 * (-6 + y)) = 0
4((108 + -18y) + 21y * (-6 + y) + 4y2 * (-6 + y)) = 0
4(108 + -18y + (-6 * 21y + y * 21y) + 4y2 * (-6 + y)) = 0
4(108 + -18y + (-126y + 21y2) + 4y2 * (-6 + y)) = 0
4(108 + -18y + -126y + 21y2 + (-6 * 4y2 + y * 4y2)) = 0
4(108 + -18y + -126y + 21y2 + (-24y2 + 4y3)) = 0

Combine like terms: -18y + -126y = -144y
4(108 + -144y + 21y2 + -24y2 + 4y3) = 0

Combine like terms: 21y2 + -24y2 = -3y2
4(108 + -144y + -3y2 + 4y3) = 0
(108 * 4 + -144y * 4 + -3y2 * 4 + 4y3 * 4) = 0
(432 + -576y + -12y2 + 16y3) = 0

Solving
432 + -576y + -12y2 + 16y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(108 + -144y + -3y2 + 4y3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(108 + -144y + -3y2 + 4y3)' equal to zero and attempt to solve:

Simplifying
108 + -144y + -3y2 + 4y3 = 0

Solving
108 + -144y + -3y2 + 4y3 = 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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