(3x-2)(4x+12)(6x-32)=0

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Solution for (3x-2)(4x+12)(6x-32)=0 equation: 


Simplifying
(3x + -2)(4x + 12)(6x + -32) = 0

Reorder the terms:
(-2 + 3x)(4x + 12)(6x + -32) = 0

Reorder the terms:
(-2 + 3x)(12 + 4x)(6x + -32) = 0

Reorder the terms:
(-2 + 3x)(12 + 4x)(-32 + 6x) = 0

Multiply (-2 + 3x) * (12 + 4x)
(-2(12 + 4x) + 3x * (12 + 4x))(-32 + 6x) = 0
((12 * -2 + 4x * -2) + 3x * (12 + 4x))(-32 + 6x) = 0
((-24 + -8x) + 3x * (12 + 4x))(-32 + 6x) = 0
(-24 + -8x + (12 * 3x + 4x * 3x))(-32 + 6x) = 0
(-24 + -8x + (36x + 12x2))(-32 + 6x) = 0

Combine like terms: -8x + 36x = 28x
(-24 + 28x + 12x2)(-32 + 6x) = 0

Multiply (-24 + 28x + 12x2) * (-32 + 6x)
(-24(-32 + 6x) + 28x * (-32 + 6x) + 12x2 * (-32 + 6x)) = 0
((-32 * -24 + 6x * -24) + 28x * (-32 + 6x) + 12x2 * (-32 + 6x)) = 0
((768 + -144x) + 28x * (-32 + 6x) + 12x2 * (-32 + 6x)) = 0
(768 + -144x + (-32 * 28x + 6x * 28x) + 12x2 * (-32 + 6x)) = 0
(768 + -144x + (-896x + 168x2) + 12x2 * (-32 + 6x)) = 0
(768 + -144x + -896x + 168x2 + (-32 * 12x2 + 6x * 12x2)) = 0
(768 + -144x + -896x + 168x2 + (-384x2 + 72x3)) = 0

Combine like terms: -144x + -896x = -1040x
(768 + -1040x + 168x2 + -384x2 + 72x3) = 0

Combine like terms: 168x2 + -384x2 = -216x2
(768 + -1040x + -216x2 + 72x3) = 0

Solving
768 + -1040x + -216x2 + 72x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(96 + -130x + -27x2 + 9x3) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(96 + -130x + -27x2 + 9x3)' equal to zero and attempt to solve:

Simplifying
96 + -130x + -27x2 + 9x3 = 0

Solving
96 + -130x + -27x2 + 9x3 = 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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