(144x+1)(144x+1)(144+1)=2985984x^3+62208x^2+432x+1

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Solution for (144x+1)(144x+1)(144+1)=2985984x^3+62208x^2+432x+1 equation:


Simplifying
(144x + 1)(144x + 1)(144 + 1) = 2985984x3 + 62208x2 + 432x + 1

Reorder the terms:
(1 + 144x)(144x + 1)(144 + 1) = 2985984x3 + 62208x2 + 432x + 1

Reorder the terms:
(1 + 144x)(1 + 144x)(144 + 1) = 2985984x3 + 62208x2 + 432x + 1

Combine like terms: 144 + 1 = 145
(1 + 144x)(1 + 144x)(145) = 2985984x3 + 62208x2 + 432x + 1

Reorder the terms for easier multiplication:
145(1 + 144x)(1 + 144x) = 2985984x3 + 62208x2 + 432x + 1

Multiply (1 + 144x) * (1 + 144x)
145(1(1 + 144x) + 144x * (1 + 144x)) = 2985984x3 + 62208x2 + 432x + 1
145((1 * 1 + 144x * 1) + 144x * (1 + 144x)) = 2985984x3 + 62208x2 + 432x + 1
145((1 + 144x) + 144x * (1 + 144x)) = 2985984x3 + 62208x2 + 432x + 1
145(1 + 144x + (1 * 144x + 144x * 144x)) = 2985984x3 + 62208x2 + 432x + 1
145(1 + 144x + (144x + 20736x2)) = 2985984x3 + 62208x2 + 432x + 1

Combine like terms: 144x + 144x = 288x
145(1 + 288x + 20736x2) = 2985984x3 + 62208x2 + 432x + 1
(1 * 145 + 288x * 145 + 20736x2 * 145) = 2985984x3 + 62208x2 + 432x + 1
(145 + 41760x + 3006720x2) = 2985984x3 + 62208x2 + 432x + 1

Reorder the terms:
145 + 41760x + 3006720x2 = 1 + 432x + 62208x2 + 2985984x3

Solving
145 + 41760x + 3006720x2 = 1 + 432x + 62208x2 + 2985984x3

Solving for variable 'x'.

Reorder the terms:
145 + -1 + 41760x + -432x + 3006720x2 + -62208x2 + -2985984x3 = 1 + 432x + 62208x2 + 2985984x3 + -1 + -432x + -62208x2 + -2985984x3

Combine like terms: 145 + -1 = 144
144 + 41760x + -432x + 3006720x2 + -62208x2 + -2985984x3 = 1 + 432x + 62208x2 + 2985984x3 + -1 + -432x + -62208x2 + -2985984x3

Combine like terms: 41760x + -432x = 41328x
144 + 41328x + 3006720x2 + -62208x2 + -2985984x3 = 1 + 432x + 62208x2 + 2985984x3 + -1 + -432x + -62208x2 + -2985984x3

Combine like terms: 3006720x2 + -62208x2 = 2944512x2
144 + 41328x + 2944512x2 + -2985984x3 = 1 + 432x + 62208x2 + 2985984x3 + -1 + -432x + -62208x2 + -2985984x3

Reorder the terms:
144 + 41328x + 2944512x2 + -2985984x3 = 1 + -1 + 432x + -432x + 62208x2 + -62208x2 + 2985984x3 + -2985984x3

Combine like terms: 1 + -1 = 0
144 + 41328x + 2944512x2 + -2985984x3 = 0 + 432x + -432x + 62208x2 + -62208x2 + 2985984x3 + -2985984x3
144 + 41328x + 2944512x2 + -2985984x3 = 432x + -432x + 62208x2 + -62208x2 + 2985984x3 + -2985984x3

Combine like terms: 432x + -432x = 0
144 + 41328x + 2944512x2 + -2985984x3 = 0 + 62208x2 + -62208x2 + 2985984x3 + -2985984x3
144 + 41328x + 2944512x2 + -2985984x3 = 62208x2 + -62208x2 + 2985984x3 + -2985984x3

Combine like terms: 62208x2 + -62208x2 = 0
144 + 41328x + 2944512x2 + -2985984x3 = 0 + 2985984x3 + -2985984x3
144 + 41328x + 2944512x2 + -2985984x3 = 2985984x3 + -2985984x3

Combine like terms: 2985984x3 + -2985984x3 = 0
144 + 41328x + 2944512x2 + -2985984x3 = 0

Factor out the Greatest Common Factor (GCF), '144'.
144(1 + 287x + 20448x2 + -20736x3) = 0

Ignore the factor 144.

Subproblem 1

Set the factor '(1 + 287x + 20448x2 + -20736x3)' equal to zero and attempt to solve: Simplifying 1 + 287x + 20448x2 + -20736x3 = 0 Solving 1 + 287x + 20448x2 + -20736x3 = 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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