(2+(2+x)(2+x))(2+(2+x)(2+x))=2016

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Solution for (2+(2+x)(2+x))(2+(2+x)(2+x))=2016 equation: 


Simplifying
(2 + (2 + x)(2 + x))(2 + (2 + x)(2 + x)) = 2016

Multiply (2 + x) * (2 + x)
(2 + (2(2 + x) + x(2 + x)))(2 + (2 + x)(2 + x)) = 2016
(2 + ((2 * 2 + x * 2) + x(2 + x)))(2 + (2 + x)(2 + x)) = 2016
(2 + ((4 + 2x) + x(2 + x)))(2 + (2 + x)(2 + x)) = 2016
(2 + (4 + 2x + (2 * x + x * x)))(2 + (2 + x)(2 + x)) = 2016
(2 + (4 + 2x + (2x + x2)))(2 + (2 + x)(2 + x)) = 2016

Combine like terms: 2x + 2x = 4x
(2 + (4 + 4x + x2))(2 + (2 + x)(2 + x)) = 2016

Combine like terms: 2 + 4 = 6
(6 + 4x + x2)(2 + (2 + x)(2 + x)) = 2016

Multiply (2 + x) * (2 + x)
(6 + 4x + x2)(2 + (2(2 + x) + x(2 + x))) = 2016
(6 + 4x + x2)(2 + ((2 * 2 + x * 2) + x(2 + x))) = 2016
(6 + 4x + x2)(2 + ((4 + 2x) + x(2 + x))) = 2016
(6 + 4x + x2)(2 + (4 + 2x + (2 * x + x * x))) = 2016
(6 + 4x + x2)(2 + (4 + 2x + (2x + x2))) = 2016

Combine like terms: 2x + 2x = 4x
(6 + 4x + x2)(2 + (4 + 4x + x2)) = 2016

Combine like terms: 2 + 4 = 6
(6 + 4x + x2)(6 + 4x + x2) = 2016

Multiply (6 + 4x + x2) * (6 + 4x + x2)
(6(6 + 4x + x2) + 4x * (6 + 4x + x2) + x2(6 + 4x + x2)) = 2016
((6 * 6 + 4x * 6 + x2 * 6) + 4x * (6 + 4x + x2) + x2(6 + 4x + x2)) = 2016
((36 + 24x + 6x2) + 4x * (6 + 4x + x2) + x2(6 + 4x + x2)) = 2016
(36 + 24x + 6x2 + (6 * 4x + 4x * 4x + x2 * 4x) + x2(6 + 4x + x2)) = 2016
(36 + 24x + 6x2 + (24x + 16x2 + 4x3) + x2(6 + 4x + x2)) = 2016
(36 + 24x + 6x2 + 24x + 16x2 + 4x3 + (6 * x2 + 4x * x2 + x2 * x2)) = 2016
(36 + 24x + 6x2 + 24x + 16x2 + 4x3 + (6x2 + 4x3 + x4)) = 2016

Reorder the terms:
(36 + 24x + 24x + 6x2 + 16x2 + 6x2 + 4x3 + 4x3 + x4) = 2016

Combine like terms: 24x + 24x = 48x
(36 + 48x + 6x2 + 16x2 + 6x2 + 4x3 + 4x3 + x4) = 2016

Combine like terms: 6x2 + 16x2 = 22x2
(36 + 48x + 22x2 + 6x2 + 4x3 + 4x3 + x4) = 2016

Combine like terms: 22x2 + 6x2 = 28x2
(36 + 48x + 28x2 + 4x3 + 4x3 + x4) = 2016

Combine like terms: 4x3 + 4x3 = 8x3
(36 + 48x + 28x2 + 8x3 + x4) = 2016

Solving
36 + 48x + 28x2 + 8x3 + x4 = 2016

Solving for variable 'x'.

Reorder the terms:
36 + -2016 + 48x + 28x2 + 8x3 + x4 = 2016 + -2016

Combine like terms: 36 + -2016 = -1980
-1980 + 48x + 28x2 + 8x3 + x4 = 2016 + -2016

Combine like terms: 2016 + -2016 = 0
-1980 + 48x + 28x2 + 8x3 + x4 = 0

The solution to this equation could not be determined.

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