(4x^2+4x+2)(x^2+5x+4)=

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Solution for (4x^2+4x+2)(x^2+5x+4)= equation: 


Simplifying
(4x2 + 4x + 2)(x2 + 5x + 4) = 0

Reorder the terms:
(2 + 4x + 4x2)(x2 + 5x + 4) = 0

Reorder the terms:
(2 + 4x + 4x2)(4 + 5x + x2) = 0

Multiply (2 + 4x + 4x2) * (4 + 5x + x2)
(2(4 + 5x + x2) + 4x * (4 + 5x + x2) + 4x2 * (4 + 5x + x2)) = 0
((4 * 2 + 5x * 2 + x2 * 2) + 4x * (4 + 5x + x2) + 4x2 * (4 + 5x + x2)) = 0
((8 + 10x + 2x2) + 4x * (4 + 5x + x2) + 4x2 * (4 + 5x + x2)) = 0
(8 + 10x + 2x2 + (4 * 4x + 5x * 4x + x2 * 4x) + 4x2 * (4 + 5x + x2)) = 0
(8 + 10x + 2x2 + (16x + 20x2 + 4x3) + 4x2 * (4 + 5x + x2)) = 0
(8 + 10x + 2x2 + 16x + 20x2 + 4x3 + (4 * 4x2 + 5x * 4x2 + x2 * 4x2)) = 0
(8 + 10x + 2x2 + 16x + 20x2 + 4x3 + (16x2 + 20x3 + 4x4)) = 0

Reorder the terms:
(8 + 10x + 16x + 2x2 + 20x2 + 16x2 + 4x3 + 20x3 + 4x4) = 0

Combine like terms: 10x + 16x = 26x
(8 + 26x + 2x2 + 20x2 + 16x2 + 4x3 + 20x3 + 4x4) = 0

Combine like terms: 2x2 + 20x2 = 22x2
(8 + 26x + 22x2 + 16x2 + 4x3 + 20x3 + 4x4) = 0

Combine like terms: 22x2 + 16x2 = 38x2
(8 + 26x + 38x2 + 4x3 + 20x3 + 4x4) = 0

Combine like terms: 4x3 + 20x3 = 24x3
(8 + 26x + 38x2 + 24x3 + 4x4) = 0

Solving
8 + 26x + 38x2 + 24x3 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 13x + 19x2 + 12x3 + 2x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + 13x + 19x2 + 12x3 + 2x4)' equal to zero and attempt to solve:

Simplifying
4 + 13x + 19x2 + 12x3 + 2x4 = 0

Solving
4 + 13x + 19x2 + 12x3 + 2x4 = 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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