(8x-4)(5x+7)(4x+16)=x

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Solution for (8x-4)(5x+7)(4x+16)=x equation: 


Simplifying
(8x + -4)(5x + 7)(4x + 16) = x

Reorder the terms:
(-4 + 8x)(5x + 7)(4x + 16) = x

Reorder the terms:
(-4 + 8x)(7 + 5x)(4x + 16) = x

Reorder the terms:
(-4 + 8x)(7 + 5x)(16 + 4x) = x

Multiply (-4 + 8x) * (7 + 5x)
(-4(7 + 5x) + 8x * (7 + 5x))(16 + 4x) = x
((7 * -4 + 5x * -4) + 8x * (7 + 5x))(16 + 4x) = x
((-28 + -20x) + 8x * (7 + 5x))(16 + 4x) = x
(-28 + -20x + (7 * 8x + 5x * 8x))(16 + 4x) = x
(-28 + -20x + (56x + 40x2))(16 + 4x) = x

Combine like terms: -20x + 56x = 36x
(-28 + 36x + 40x2)(16 + 4x) = x

Multiply (-28 + 36x + 40x2) * (16 + 4x)
(-28(16 + 4x) + 36x * (16 + 4x) + 40x2 * (16 + 4x)) = x
((16 * -28 + 4x * -28) + 36x * (16 + 4x) + 40x2 * (16 + 4x)) = x
((-448 + -112x) + 36x * (16 + 4x) + 40x2 * (16 + 4x)) = x
(-448 + -112x + (16 * 36x + 4x * 36x) + 40x2 * (16 + 4x)) = x
(-448 + -112x + (576x + 144x2) + 40x2 * (16 + 4x)) = x
(-448 + -112x + 576x + 144x2 + (16 * 40x2 + 4x * 40x2)) = x
(-448 + -112x + 576x + 144x2 + (640x2 + 160x3)) = x

Combine like terms: -112x + 576x = 464x
(-448 + 464x + 144x2 + 640x2 + 160x3) = x

Combine like terms: 144x2 + 640x2 = 784x2
(-448 + 464x + 784x2 + 160x3) = x

Solving
-448 + 464x + 784x2 + 160x3 = x

Solving for variable 'x'.

Reorder the terms:
-448 + 464x + -1x + 784x2 + 160x3 = x + -1x

Combine like terms: 464x + -1x = 463x
-448 + 463x + 784x2 + 160x3 = x + -1x

Combine like terms: x + -1x = 0
-448 + 463x + 784x2 + 160x3 = 0

The solution to this equation could not be determined.

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