(Y+3)(Y-4)(2Y+12)=0

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Solution for (Y+3)(Y-4)(2Y+12)=0 equation: 


Simplifying
(Y + 3)(Y + -4)(2Y + 12) = 0

Reorder the terms:
(3 + Y)(Y + -4)(2Y + 12) = 0

Reorder the terms:
(3 + Y)(-4 + Y)(2Y + 12) = 0

Reorder the terms:
(3 + Y)(-4 + Y)(12 + 2Y) = 0

Multiply (3 + Y) * (-4 + Y)
(3(-4 + Y) + Y(-4 + Y))(12 + 2Y) = 0
((-4 * 3 + Y * 3) + Y(-4 + Y))(12 + 2Y) = 0
((-12 + 3Y) + Y(-4 + Y))(12 + 2Y) = 0
(-12 + 3Y + (-4 * Y + Y * Y))(12 + 2Y) = 0
(-12 + 3Y + (-4Y + Y2))(12 + 2Y) = 0

Combine like terms: 3Y + -4Y = -1Y
(-12 + -1Y + Y2)(12 + 2Y) = 0

Multiply (-12 + -1Y + Y2) * (12 + 2Y)
(-12(12 + 2Y) + -1Y * (12 + 2Y) + Y2(12 + 2Y)) = 0
((12 * -12 + 2Y * -12) + -1Y * (12 + 2Y) + Y2(12 + 2Y)) = 0
((-144 + -24Y) + -1Y * (12 + 2Y) + Y2(12 + 2Y)) = 0
(-144 + -24Y + (12 * -1Y + 2Y * -1Y) + Y2(12 + 2Y)) = 0
(-144 + -24Y + (-12Y + -2Y2) + Y2(12 + 2Y)) = 0
(-144 + -24Y + -12Y + -2Y2 + (12 * Y2 + 2Y * Y2)) = 0
(-144 + -24Y + -12Y + -2Y2 + (12Y2 + 2Y3)) = 0

Combine like terms: -24Y + -12Y = -36Y
(-144 + -36Y + -2Y2 + 12Y2 + 2Y3) = 0

Combine like terms: -2Y2 + 12Y2 = 10Y2
(-144 + -36Y + 10Y2 + 2Y3) = 0

Solving
-144 + -36Y + 10Y2 + 2Y3 = 0

Solving for variable 'Y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-72 + -18Y + 5Y2 + Y3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-72 + -18Y + 5Y2 + Y3)' equal to zero and attempt to solve:

Simplifying
-72 + -18Y + 5Y2 + Y3 = 0

Solving
-72 + -18Y + 5Y2 + Y3 = 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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