(x^2+10x+16)(x^2+10x+24)+16=0

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Solution for (x^2+10x+16)(x^2+10x+24)+16=0 equation: 


Simplifying
(x2 + 10x + 16)(x2 + 10x + 24) + 16 = 0

Reorder the terms:
(16 + 10x + x2)(x2 + 10x + 24) + 16 = 0

Reorder the terms:
(16 + 10x + x2)(24 + 10x + x2) + 16 = 0

Multiply (16 + 10x + x2) * (24 + 10x + x2)
(16(24 + 10x + x2) + 10x * (24 + 10x + x2) + x2(24 + 10x + x2)) + 16 = 0
((24 * 16 + 10x * 16 + x2 * 16) + 10x * (24 + 10x + x2) + x2(24 + 10x + x2)) + 16 = 0
((384 + 160x + 16x2) + 10x * (24 + 10x + x2) + x2(24 + 10x + x2)) + 16 = 0
(384 + 160x + 16x2 + (24 * 10x + 10x * 10x + x2 * 10x) + x2(24 + 10x + x2)) + 16 = 0
(384 + 160x + 16x2 + (240x + 100x2 + 10x3) + x2(24 + 10x + x2)) + 16 = 0
(384 + 160x + 16x2 + 240x + 100x2 + 10x3 + (24 * x2 + 10x * x2 + x2 * x2)) + 16 = 0
(384 + 160x + 16x2 + 240x + 100x2 + 10x3 + (24x2 + 10x3 + x4)) + 16 = 0

Reorder the terms:
(384 + 160x + 240x + 16x2 + 100x2 + 24x2 + 10x3 + 10x3 + x4) + 16 = 0

Combine like terms: 160x + 240x = 400x
(384 + 400x + 16x2 + 100x2 + 24x2 + 10x3 + 10x3 + x4) + 16 = 0

Combine like terms: 16x2 + 100x2 = 116x2
(384 + 400x + 116x2 + 24x2 + 10x3 + 10x3 + x4) + 16 = 0

Combine like terms: 116x2 + 24x2 = 140x2
(384 + 400x + 140x2 + 10x3 + 10x3 + x4) + 16 = 0

Combine like terms: 10x3 + 10x3 = 20x3
(384 + 400x + 140x2 + 20x3 + x4) + 16 = 0

Reorder the terms:
384 + 16 + 400x + 140x2 + 20x3 + x4 = 0

Combine like terms: 384 + 16 = 400
400 + 400x + 140x2 + 20x3 + x4 = 0

Solving
400 + 400x + 140x2 + 20x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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