(4x+31)(8x+13)(5x+16)=0

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Solution for (4x+31)(8x+13)(5x+16)=0 equation:


Simplifying
(4x + 31)(8x + 13)(5x + 16) = 0

Reorder the terms:
(31 + 4x)(8x + 13)(5x + 16) = 0

Reorder the terms:
(31 + 4x)(13 + 8x)(5x + 16) = 0

Reorder the terms:
(31 + 4x)(13 + 8x)(16 + 5x) = 0

Multiply (31 + 4x) * (13 + 8x)
(31(13 + 8x) + 4x * (13 + 8x))(16 + 5x) = 0
((13 * 31 + 8x * 31) + 4x * (13 + 8x))(16 + 5x) = 0
((403 + 248x) + 4x * (13 + 8x))(16 + 5x) = 0
(403 + 248x + (13 * 4x + 8x * 4x))(16 + 5x) = 0
(403 + 248x + (52x + 32x2))(16 + 5x) = 0

Combine like terms: 248x + 52x = 300x
(403 + 300x + 32x2)(16 + 5x) = 0

Multiply (403 + 300x + 32x2) * (16 + 5x)
(403(16 + 5x) + 300x * (16 + 5x) + 32x2 * (16 + 5x)) = 0
((16 * 403 + 5x * 403) + 300x * (16 + 5x) + 32x2 * (16 + 5x)) = 0
((6448 + 2015x) + 300x * (16 + 5x) + 32x2 * (16 + 5x)) = 0
(6448 + 2015x + (16 * 300x + 5x * 300x) + 32x2 * (16 + 5x)) = 0
(6448 + 2015x + (4800x + 1500x2) + 32x2 * (16 + 5x)) = 0
(6448 + 2015x + 4800x + 1500x2 + (16 * 32x2 + 5x * 32x2)) = 0
(6448 + 2015x + 4800x + 1500x2 + (512x2 + 160x3)) = 0

Combine like terms: 2015x + 4800x = 6815x
(6448 + 6815x + 1500x2 + 512x2 + 160x3) = 0

Combine like terms: 1500x2 + 512x2 = 2012x2
(6448 + 6815x + 2012x2 + 160x3) = 0

Solving
6448 + 6815x + 2012x2 + 160x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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