(x^2+2x-1)(2x^2+4x+1)=0

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Solution for (x^2+2x-1)(2x^2+4x+1)=0 equation:


Simplifying
(x2 + 2x + -1)(2x2 + 4x + 1) = 0

Reorder the terms:
(-1 + 2x + x2)(2x2 + 4x + 1) = 0

Reorder the terms:
(-1 + 2x + x2)(1 + 4x + 2x2) = 0

Multiply (-1 + 2x + x2) * (1 + 4x + 2x2)
(-1(1 + 4x + 2x2) + 2x * (1 + 4x + 2x2) + x2(1 + 4x + 2x2)) = 0
((1 * -1 + 4x * -1 + 2x2 * -1) + 2x * (1 + 4x + 2x2) + x2(1 + 4x + 2x2)) = 0
((-1 + -4x + -2x2) + 2x * (1 + 4x + 2x2) + x2(1 + 4x + 2x2)) = 0
(-1 + -4x + -2x2 + (1 * 2x + 4x * 2x + 2x2 * 2x) + x2(1 + 4x + 2x2)) = 0
(-1 + -4x + -2x2 + (2x + 8x2 + 4x3) + x2(1 + 4x + 2x2)) = 0
(-1 + -4x + -2x2 + 2x + 8x2 + 4x3 + (1 * x2 + 4x * x2 + 2x2 * x2)) = 0
(-1 + -4x + -2x2 + 2x + 8x2 + 4x3 + (1x2 + 4x3 + 2x4)) = 0

Reorder the terms:
(-1 + -4x + 2x + -2x2 + 8x2 + 1x2 + 4x3 + 4x3 + 2x4) = 0

Combine like terms: -4x + 2x = -2x
(-1 + -2x + -2x2 + 8x2 + 1x2 + 4x3 + 4x3 + 2x4) = 0

Combine like terms: -2x2 + 8x2 = 6x2
(-1 + -2x + 6x2 + 1x2 + 4x3 + 4x3 + 2x4) = 0

Combine like terms: 6x2 + 1x2 = 7x2
(-1 + -2x + 7x2 + 4x3 + 4x3 + 2x4) = 0

Combine like terms: 4x3 + 4x3 = 8x3
(-1 + -2x + 7x2 + 8x3 + 2x4) = 0

Solving
-1 + -2x + 7x2 + 8x3 + 2x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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