=(4x^3+2x^2+3x+4)(4x+4)

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Solution for =(4x^3+2x^2+3x+4)(4x+4) equation: 


Simplifying
0 = (4x3 + 2x2 + 3x + 4)(4x + 4)

Reorder the terms:
0 = (4 + 3x + 2x2 + 4x3)(4x + 4)

Reorder the terms:
0 = (4 + 3x + 2x2 + 4x3)(4 + 4x)

Multiply (4 + 3x + 2x2 + 4x3) * (4 + 4x)
0 = (4(4 + 4x) + 3x * (4 + 4x) + 2x2 * (4 + 4x) + 4x3 * (4 + 4x))
0 = ((4 * 4 + 4x * 4) + 3x * (4 + 4x) + 2x2 * (4 + 4x) + 4x3 * (4 + 4x))
0 = ((16 + 16x) + 3x * (4 + 4x) + 2x2 * (4 + 4x) + 4x3 * (4 + 4x))
0 = (16 + 16x + (4 * 3x + 4x * 3x) + 2x2 * (4 + 4x) + 4x3 * (4 + 4x))
0 = (16 + 16x + (12x + 12x2) + 2x2 * (4 + 4x) + 4x3 * (4 + 4x))
0 = (16 + 16x + 12x + 12x2 + (4 * 2x2 + 4x * 2x2) + 4x3 * (4 + 4x))
0 = (16 + 16x + 12x + 12x2 + (8x2 + 8x3) + 4x3 * (4 + 4x))
0 = (16 + 16x + 12x + 12x2 + 8x2 + 8x3 + (4 * 4x3 + 4x * 4x3))
0 = (16 + 16x + 12x + 12x2 + 8x2 + 8x3 + (16x3 + 16x4))

Combine like terms: 16x + 12x = 28x
0 = (16 + 28x + 12x2 + 8x2 + 8x3 + 16x3 + 16x4)

Combine like terms: 12x2 + 8x2 = 20x2
0 = (16 + 28x + 20x2 + 8x3 + 16x3 + 16x4)

Combine like terms: 8x3 + 16x3 = 24x3
0 = (16 + 28x + 20x2 + 24x3 + 16x4)

Solving
0 = 16 + 28x + 20x2 + 24x3 + 16x4

Solving for variable 'x'.

Combine like terms: 0 + -16 = -16
-16 + -28x + -20x2 + -24x3 + -16x4 = 16 + 28x + 20x2 + 24x3 + 16x4 + -16 + -28x + -20x2 + -24x3 + -16x4

Reorder the terms:
-16 + -28x + -20x2 + -24x3 + -16x4 = 16 + -16 + 28x + -28x + 20x2 + -20x2 + 24x3 + -24x3 + 16x4 + -16x4

Combine like terms: 16 + -16 = 0
-16 + -28x + -20x2 + -24x3 + -16x4 = 0 + 28x + -28x + 20x2 + -20x2 + 24x3 + -24x3 + 16x4 + -16x4
-16 + -28x + -20x2 + -24x3 + -16x4 = 28x + -28x + 20x2 + -20x2 + 24x3 + -24x3 + 16x4 + -16x4

Combine like terms: 28x + -28x = 0
-16 + -28x + -20x2 + -24x3 + -16x4 = 0 + 20x2 + -20x2 + 24x3 + -24x3 + 16x4 + -16x4
-16 + -28x + -20x2 + -24x3 + -16x4 = 20x2 + -20x2 + 24x3 + -24x3 + 16x4 + -16x4

Combine like terms: 20x2 + -20x2 = 0
-16 + -28x + -20x2 + -24x3 + -16x4 = 0 + 24x3 + -24x3 + 16x4 + -16x4
-16 + -28x + -20x2 + -24x3 + -16x4 = 24x3 + -24x3 + 16x4 + -16x4

Combine like terms: 24x3 + -24x3 = 0
-16 + -28x + -20x2 + -24x3 + -16x4 = 0 + 16x4 + -16x4
-16 + -28x + -20x2 + -24x3 + -16x4 = 16x4 + -16x4

Combine like terms: 16x4 + -16x4 = 0
-16 + -28x + -20x2 + -24x3 + -16x4 = 0

Factor out the Greatest Common Factor (GCF), '-4'.
-4(4 + 7x + 5x2 + 6x3 + 4x4) = 0

Ignore the factor -4.

Subproblem 1
Set the factor '(4 + 7x + 5x2 + 6x3 + 4x4)' equal to zero and attempt to solve:

Simplifying
4 + 7x + 5x2 + 6x3 + 4x4 = 0

Solving
4 + 7x + 5x2 + 6x3 + 4x4 = 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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