(4x+12)(4x+12)(4x+12)+3=1

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Solution for (4x+12)(4x+12)(4x+12)+3=1 equation: 


Simplifying
(4x + 12)(4x + 12)(4x + 12) + 3 = 1

Reorder the terms:
(12 + 4x)(4x + 12)(4x + 12) + 3 = 1

Reorder the terms:
(12 + 4x)(12 + 4x)(4x + 12) + 3 = 1

Reorder the terms:
(12 + 4x)(12 + 4x)(12 + 4x) + 3 = 1

Multiply (12 + 4x) * (12 + 4x)
(12(12 + 4x) + 4x * (12 + 4x))(12 + 4x) + 3 = 1
((12 * 12 + 4x * 12) + 4x * (12 + 4x))(12 + 4x) + 3 = 1
((144 + 48x) + 4x * (12 + 4x))(12 + 4x) + 3 = 1
(144 + 48x + (12 * 4x + 4x * 4x))(12 + 4x) + 3 = 1
(144 + 48x + (48x + 16x2))(12 + 4x) + 3 = 1

Combine like terms: 48x + 48x = 96x
(144 + 96x + 16x2)(12 + 4x) + 3 = 1

Multiply (144 + 96x + 16x2) * (12 + 4x)
(144(12 + 4x) + 96x * (12 + 4x) + 16x2 * (12 + 4x)) + 3 = 1
((12 * 144 + 4x * 144) + 96x * (12 + 4x) + 16x2 * (12 + 4x)) + 3 = 1
((1728 + 576x) + 96x * (12 + 4x) + 16x2 * (12 + 4x)) + 3 = 1
(1728 + 576x + (12 * 96x + 4x * 96x) + 16x2 * (12 + 4x)) + 3 = 1
(1728 + 576x + (1152x + 384x2) + 16x2 * (12 + 4x)) + 3 = 1
(1728 + 576x + 1152x + 384x2 + (12 * 16x2 + 4x * 16x2)) + 3 = 1
(1728 + 576x + 1152x + 384x2 + (192x2 + 64x3)) + 3 = 1

Combine like terms: 576x + 1152x = 1728x
(1728 + 1728x + 384x2 + 192x2 + 64x3) + 3 = 1

Combine like terms: 384x2 + 192x2 = 576x2
(1728 + 1728x + 576x2 + 64x3) + 3 = 1

Reorder the terms:
1728 + 3 + 1728x + 576x2 + 64x3 = 1

Combine like terms: 1728 + 3 = 1731
1731 + 1728x + 576x2 + 64x3 = 1

Solving
1731 + 1728x + 576x2 + 64x3 = 1

Solving for variable 'x'.

Reorder the terms:
1731 + -1 + 1728x + 576x2 + 64x3 = 1 + -1

Combine like terms: 1731 + -1 = 1730
1730 + 1728x + 576x2 + 64x3 = 1 + -1

Combine like terms: 1 + -1 = 0
1730 + 1728x + 576x2 + 64x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(865 + 864x + 288x2 + 32x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(865 + 864x + 288x2 + 32x3)' equal to zero and attempt to solve:

Simplifying
865 + 864x + 288x2 + 32x3 = 0

Solving
865 + 864x + 288x2 + 32x3 = 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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