(6x+12)(16x+4)(18x+4)=180

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Solution for (6x+12)(16x+4)(18x+4)=180 equation: 


Simplifying
(6x + 12)(16x + 4)(18x + 4) = 180

Reorder the terms:
(12 + 6x)(16x + 4)(18x + 4) = 180

Reorder the terms:
(12 + 6x)(4 + 16x)(18x + 4) = 180

Reorder the terms:
(12 + 6x)(4 + 16x)(4 + 18x) = 180

Multiply (12 + 6x) * (4 + 16x)
(12(4 + 16x) + 6x * (4 + 16x))(4 + 18x) = 180
((4 * 12 + 16x * 12) + 6x * (4 + 16x))(4 + 18x) = 180
((48 + 192x) + 6x * (4 + 16x))(4 + 18x) = 180
(48 + 192x + (4 * 6x + 16x * 6x))(4 + 18x) = 180
(48 + 192x + (24x + 96x2))(4 + 18x) = 180

Combine like terms: 192x + 24x = 216x
(48 + 216x + 96x2)(4 + 18x) = 180

Multiply (48 + 216x + 96x2) * (4 + 18x)
(48(4 + 18x) + 216x * (4 + 18x) + 96x2 * (4 + 18x)) = 180
((4 * 48 + 18x * 48) + 216x * (4 + 18x) + 96x2 * (4 + 18x)) = 180
((192 + 864x) + 216x * (4 + 18x) + 96x2 * (4 + 18x)) = 180
(192 + 864x + (4 * 216x + 18x * 216x) + 96x2 * (4 + 18x)) = 180
(192 + 864x + (864x + 3888x2) + 96x2 * (4 + 18x)) = 180
(192 + 864x + 864x + 3888x2 + (4 * 96x2 + 18x * 96x2)) = 180
(192 + 864x + 864x + 3888x2 + (384x2 + 1728x3)) = 180

Combine like terms: 864x + 864x = 1728x
(192 + 1728x + 3888x2 + 384x2 + 1728x3) = 180

Combine like terms: 3888x2 + 384x2 = 4272x2
(192 + 1728x + 4272x2 + 1728x3) = 180

Solving
192 + 1728x + 4272x2 + 1728x3 = 180

Solving for variable 'x'.

Reorder the terms:
192 + -180 + 1728x + 4272x2 + 1728x3 = 180 + -180

Combine like terms: 192 + -180 = 12
12 + 1728x + 4272x2 + 1728x3 = 180 + -180

Combine like terms: 180 + -180 = 0
12 + 1728x + 4272x2 + 1728x3 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(1 + 144x + 356x2 + 144x3) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(1 + 144x + 356x2 + 144x3)' equal to zero and attempt to solve:

Simplifying
1 + 144x + 356x2 + 144x3 = 0

Solving
1 + 144x + 356x2 + 144x3 = 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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