(4x^3+6x^2+4x+1)(35x^3+21x^2+7x+1)=

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Solution for (4x^3+6x^2+4x+1)(35x^3+21x^2+7x+1)= equation: 


Simplifying
(4x3 + 6x2 + 4x + 1)(35x3 + 21x2 + 7x + 1) = 0

Reorder the terms:
(1 + 4x + 6x2 + 4x3)(35x3 + 21x2 + 7x + 1) = 0

Reorder the terms:
(1 + 4x + 6x2 + 4x3)(1 + 7x + 21x2 + 35x3) = 0

Multiply (1 + 4x + 6x2 + 4x3) * (1 + 7x + 21x2 + 35x3)
(1(1 + 7x + 21x2 + 35x3) + 4x * (1 + 7x + 21x2 + 35x3) + 6x2 * (1 + 7x + 21x2 + 35x3) + 4x3 * (1 + 7x + 21x2 + 35x3)) = 0
((1 * 1 + 7x * 1 + 21x2 * 1 + 35x3 * 1) + 4x * (1 + 7x + 21x2 + 35x3) + 6x2 * (1 + 7x + 21x2 + 35x3) + 4x3 * (1 + 7x + 21x2 + 35x3)) = 0
((1 + 7x + 21x2 + 35x3) + 4x * (1 + 7x + 21x2 + 35x3) + 6x2 * (1 + 7x + 21x2 + 35x3) + 4x3 * (1 + 7x + 21x2 + 35x3)) = 0
(1 + 7x + 21x2 + 35x3 + (1 * 4x + 7x * 4x + 21x2 * 4x + 35x3 * 4x) + 6x2 * (1 + 7x + 21x2 + 35x3) + 4x3 * (1 + 7x + 21x2 + 35x3)) = 0
(1 + 7x + 21x2 + 35x3 + (4x + 28x2 + 84x3 + 140x4) + 6x2 * (1 + 7x + 21x2 + 35x3) + 4x3 * (1 + 7x + 21x2 + 35x3)) = 0
(1 + 7x + 21x2 + 35x3 + 4x + 28x2 + 84x3 + 140x4 + (1 * 6x2 + 7x * 6x2 + 21x2 * 6x2 + 35x3 * 6x2) + 4x3 * (1 + 7x + 21x2 + 35x3)) = 0
(1 + 7x + 21x2 + 35x3 + 4x + 28x2 + 84x3 + 140x4 + (6x2 + 42x3 + 126x4 + 210x5) + 4x3 * (1 + 7x + 21x2 + 35x3)) = 0
(1 + 7x + 21x2 + 35x3 + 4x + 28x2 + 84x3 + 140x4 + 6x2 + 42x3 + 126x4 + 210x5 + (1 * 4x3 + 7x * 4x3 + 21x2 * 4x3 + 35x3 * 4x3)) = 0
(1 + 7x + 21x2 + 35x3 + 4x + 28x2 + 84x3 + 140x4 + 6x2 + 42x3 + 126x4 + 210x5 + (4x3 + 28x4 + 84x5 + 140x6)) = 0

Reorder the terms:
(1 + 7x + 4x + 21x2 + 28x2 + 6x2 + 35x3 + 84x3 + 42x3 + 4x3 + 140x4 + 126x4 + 28x4 + 210x5 + 84x5 + 140x6) = 0

Combine like terms: 7x + 4x = 11x
(1 + 11x + 21x2 + 28x2 + 6x2 + 35x3 + 84x3 + 42x3 + 4x3 + 140x4 + 126x4 + 28x4 + 210x5 + 84x5 + 140x6) = 0

Combine like terms: 21x2 + 28x2 = 49x2
(1 + 11x + 49x2 + 6x2 + 35x3 + 84x3 + 42x3 + 4x3 + 140x4 + 126x4 + 28x4 + 210x5 + 84x5 + 140x6) = 0

Combine like terms: 49x2 + 6x2 = 55x2
(1 + 11x + 55x2 + 35x3 + 84x3 + 42x3 + 4x3 + 140x4 + 126x4 + 28x4 + 210x5 + 84x5 + 140x6) = 0

Combine like terms: 35x3 + 84x3 = 119x3
(1 + 11x + 55x2 + 119x3 + 42x3 + 4x3 + 140x4 + 126x4 + 28x4 + 210x5 + 84x5 + 140x6) = 0

Combine like terms: 119x3 + 42x3 = 161x3
(1 + 11x + 55x2 + 161x3 + 4x3 + 140x4 + 126x4 + 28x4 + 210x5 + 84x5 + 140x6) = 0

Combine like terms: 161x3 + 4x3 = 165x3
(1 + 11x + 55x2 + 165x3 + 140x4 + 126x4 + 28x4 + 210x5 + 84x5 + 140x6) = 0

Combine like terms: 140x4 + 126x4 = 266x4
(1 + 11x + 55x2 + 165x3 + 266x4 + 28x4 + 210x5 + 84x5 + 140x6) = 0

Combine like terms: 266x4 + 28x4 = 294x4
(1 + 11x + 55x2 + 165x3 + 294x4 + 210x5 + 84x5 + 140x6) = 0

Combine like terms: 210x5 + 84x5 = 294x5
(1 + 11x + 55x2 + 165x3 + 294x4 + 294x5 + 140x6) = 0

Solving
1 + 11x + 55x2 + 165x3 + 294x4 + 294x5 + 140x6 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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