2x(2x+2)(2x+4)=85008

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Solution for 2x(2x+2)(2x+4)=85008 equation:


Simplifying
2x(2x + 2)(2x + 4) = 85008

Reorder the terms:
2x(2 + 2x)(2x + 4) = 85008

Reorder the terms:
2x(2 + 2x)(4 + 2x) = 85008

Multiply (2 + 2x) * (4 + 2x)
2x(2(4 + 2x) + 2x * (4 + 2x)) = 85008
2x((4 * 2 + 2x * 2) + 2x * (4 + 2x)) = 85008
2x((8 + 4x) + 2x * (4 + 2x)) = 85008
2x(8 + 4x + (4 * 2x + 2x * 2x)) = 85008
2x(8 + 4x + (8x + 4x2)) = 85008

Combine like terms: 4x + 8x = 12x
2x(8 + 12x + 4x2) = 85008
(8 * 2x + 12x * 2x + 4x2 * 2x) = 85008
(16x + 24x2 + 8x3) = 85008

Solving
16x + 24x2 + 8x3 = 85008

Solving for variable 'x'.

Reorder the terms:
-85008 + 16x + 24x2 + 8x3 = 85008 + -85008

Combine like terms: 85008 + -85008 = 0
-85008 + 16x + 24x2 + 8x3 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-10626 + 2x + 3x2 + x3) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(-10626 + 2x + 3x2 + x3)' equal to zero and attempt to solve: Simplifying -10626 + 2x + 3x2 + x3 = 0 Solving -10626 + 2x + 3x2 + x3 = 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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