28x+11=(8x+2)(8x+2)(5x+12)

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Solution for 28x+11=(8x+2)(8x+2)(5x+12) equation: 


Simplifying
28x + 11 = (8x + 2)(8x + 2)(5x + 12)

Reorder the terms:
11 + 28x = (8x + 2)(8x + 2)(5x + 12)

Reorder the terms:
11 + 28x = (2 + 8x)(8x + 2)(5x + 12)

Reorder the terms:
11 + 28x = (2 + 8x)(2 + 8x)(5x + 12)

Reorder the terms:
11 + 28x = (2 + 8x)(2 + 8x)(12 + 5x)

Multiply (2 + 8x) * (2 + 8x)
11 + 28x = (2(2 + 8x) + 8x * (2 + 8x))(12 + 5x)
11 + 28x = ((2 * 2 + 8x * 2) + 8x * (2 + 8x))(12 + 5x)
11 + 28x = ((4 + 16x) + 8x * (2 + 8x))(12 + 5x)
11 + 28x = (4 + 16x + (2 * 8x + 8x * 8x))(12 + 5x)
11 + 28x = (4 + 16x + (16x + 64x2))(12 + 5x)

Combine like terms: 16x + 16x = 32x
11 + 28x = (4 + 32x + 64x2)(12 + 5x)

Multiply (4 + 32x + 64x2) * (12 + 5x)
11 + 28x = (4(12 + 5x) + 32x * (12 + 5x) + 64x2 * (12 + 5x))
11 + 28x = ((12 * 4 + 5x * 4) + 32x * (12 + 5x) + 64x2 * (12 + 5x))
11 + 28x = ((48 + 20x) + 32x * (12 + 5x) + 64x2 * (12 + 5x))
11 + 28x = (48 + 20x + (12 * 32x + 5x * 32x) + 64x2 * (12 + 5x))
11 + 28x = (48 + 20x + (384x + 160x2) + 64x2 * (12 + 5x))
11 + 28x = (48 + 20x + 384x + 160x2 + (12 * 64x2 + 5x * 64x2))
11 + 28x = (48 + 20x + 384x + 160x2 + (768x2 + 320x3))

Combine like terms: 20x + 384x = 404x
11 + 28x = (48 + 404x + 160x2 + 768x2 + 320x3)

Combine like terms: 160x2 + 768x2 = 928x2
11 + 28x = (48 + 404x + 928x2 + 320x3)

Solving
11 + 28x = 48 + 404x + 928x2 + 320x3

Solving for variable 'x'.

Reorder the terms:
11 + -48 + 28x + -404x + -928x2 + -320x3 = 48 + 404x + 928x2 + 320x3 + -48 + -404x + -928x2 + -320x3

Combine like terms: 11 + -48 = -37
-37 + 28x + -404x + -928x2 + -320x3 = 48 + 404x + 928x2 + 320x3 + -48 + -404x + -928x2 + -320x3

Combine like terms: 28x + -404x = -376x
-37 + -376x + -928x2 + -320x3 = 48 + 404x + 928x2 + 320x3 + -48 + -404x + -928x2 + -320x3

Reorder the terms:
-37 + -376x + -928x2 + -320x3 = 48 + -48 + 404x + -404x + 928x2 + -928x2 + 320x3 + -320x3

Combine like terms: 48 + -48 = 0
-37 + -376x + -928x2 + -320x3 = 0 + 404x + -404x + 928x2 + -928x2 + 320x3 + -320x3
-37 + -376x + -928x2 + -320x3 = 404x + -404x + 928x2 + -928x2 + 320x3 + -320x3

Combine like terms: 404x + -404x = 0
-37 + -376x + -928x2 + -320x3 = 0 + 928x2 + -928x2 + 320x3 + -320x3
-37 + -376x + -928x2 + -320x3 = 928x2 + -928x2 + 320x3 + -320x3

Combine like terms: 928x2 + -928x2 = 0
-37 + -376x + -928x2 + -320x3 = 0 + 320x3 + -320x3
-37 + -376x + -928x2 + -320x3 = 320x3 + -320x3

Combine like terms: 320x3 + -320x3 = 0
-37 + -376x + -928x2 + -320x3 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(37 + 376x + 928x2 + 320x3) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(37 + 376x + 928x2 + 320x3)' equal to zero and attempt to solve:

Simplifying
37 + 376x + 928x2 + 320x3 = 0

Solving
37 + 376x + 928x2 + 320x3 = 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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