(x-4)(3x+6)(5-10x)(12x+48)=0

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Solution for (x-4)(3x+6)(5-10x)(12x+48)=0 equation: 


Simplifying
(x + -4)(3x + 6)(5 + -10x)(12x + 48) = 0

Reorder the terms:
(-4 + x)(3x + 6)(5 + -10x)(12x + 48) = 0

Reorder the terms:
(-4 + x)(6 + 3x)(5 + -10x)(12x + 48) = 0

Reorder the terms:
(-4 + x)(6 + 3x)(5 + -10x)(48 + 12x) = 0

Multiply (-4 + x) * (6 + 3x)
(-4(6 + 3x) + x(6 + 3x))(5 + -10x)(48 + 12x) = 0
((6 * -4 + 3x * -4) + x(6 + 3x))(5 + -10x)(48 + 12x) = 0
((-24 + -12x) + x(6 + 3x))(5 + -10x)(48 + 12x) = 0
(-24 + -12x + (6 * x + 3x * x))(5 + -10x)(48 + 12x) = 0
(-24 + -12x + (6x + 3x2))(5 + -10x)(48 + 12x) = 0

Combine like terms: -12x + 6x = -6x
(-24 + -6x + 3x2)(5 + -10x)(48 + 12x) = 0

Multiply (-24 + -6x + 3x2) * (5 + -10x)
(-24(5 + -10x) + -6x * (5 + -10x) + 3x2 * (5 + -10x))(48 + 12x) = 0
((5 * -24 + -10x * -24) + -6x * (5 + -10x) + 3x2 * (5 + -10x))(48 + 12x) = 0
((-120 + 240x) + -6x * (5 + -10x) + 3x2 * (5 + -10x))(48 + 12x) = 0
(-120 + 240x + (5 * -6x + -10x * -6x) + 3x2 * (5 + -10x))(48 + 12x) = 0
(-120 + 240x + (-30x + 60x2) + 3x2 * (5 + -10x))(48 + 12x) = 0
(-120 + 240x + -30x + 60x2 + (5 * 3x2 + -10x * 3x2))(48 + 12x) = 0
(-120 + 240x + -30x + 60x2 + (15x2 + -30x3))(48 + 12x) = 0

Combine like terms: 240x + -30x = 210x
(-120 + 210x + 60x2 + 15x2 + -30x3)(48 + 12x) = 0

Combine like terms: 60x2 + 15x2 = 75x2
(-120 + 210x + 75x2 + -30x3)(48 + 12x) = 0

Multiply (-120 + 210x + 75x2 + -30x3) * (48 + 12x)
(-120(48 + 12x) + 210x * (48 + 12x) + 75x2 * (48 + 12x) + -30x3 * (48 + 12x)) = 0
((48 * -120 + 12x * -120) + 210x * (48 + 12x) + 75x2 * (48 + 12x) + -30x3 * (48 + 12x)) = 0
((-5760 + -1440x) + 210x * (48 + 12x) + 75x2 * (48 + 12x) + -30x3 * (48 + 12x)) = 0
(-5760 + -1440x + (48 * 210x + 12x * 210x) + 75x2 * (48 + 12x) + -30x3 * (48 + 12x)) = 0
(-5760 + -1440x + (10080x + 2520x2) + 75x2 * (48 + 12x) + -30x3 * (48 + 12x)) = 0
(-5760 + -1440x + 10080x + 2520x2 + (48 * 75x2 + 12x * 75x2) + -30x3 * (48 + 12x)) = 0
(-5760 + -1440x + 10080x + 2520x2 + (3600x2 + 900x3) + -30x3 * (48 + 12x)) = 0
(-5760 + -1440x + 10080x + 2520x2 + 3600x2 + 900x3 + (48 * -30x3 + 12x * -30x3)) = 0
(-5760 + -1440x + 10080x + 2520x2 + 3600x2 + 900x3 + (-1440x3 + -360x4)) = 0

Combine like terms: -1440x + 10080x = 8640x
(-5760 + 8640x + 2520x2 + 3600x2 + 900x3 + -1440x3 + -360x4) = 0

Combine like terms: 2520x2 + 3600x2 = 6120x2
(-5760 + 8640x + 6120x2 + 900x3 + -1440x3 + -360x4) = 0

Combine like terms: 900x3 + -1440x3 = -540x3
(-5760 + 8640x + 6120x2 + -540x3 + -360x4) = 0

Solving
-5760 + 8640x + 6120x2 + -540x3 + -360x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '180'.
180(-32 + 48x + 34x2 + -3x3 + -2x4) = 0

Ignore the factor 180.

Subproblem 1
Set the factor '(-32 + 48x + 34x2 + -3x3 + -2x4)' equal to zero and attempt to solve:

Simplifying
-32 + 48x + 34x2 + -3x3 + -2x4 = 0

Solving
-32 + 48x + 34x2 + -3x3 + -2x4 = 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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